Search a number
-
+
500111412122224 = 247371012574649353
BaseRepresentation
bin111000110110110010100001…
…1000100010101001001110000
32102120202011222012010212022201
41301231211003010111021300
51011022311133000402344
64531352002214112544
7210224600002366510
oct16155450304251160
92376664865125281
10500111412122224
111353950712a1241
1248110b3804b754
13186093c45c4b76
148b6d742dc9840
153cc40a39824d4
hex1c6d943115270

500111412122224 has 160 divisors (see below), whose sum is σ = 1153049016318336. Its totient is φ = 205672454553600.

The previous prime is 500111412122213. The next prime is 500111412122263. The reversal of 500111412122224 is 422221214111005.

It is a happy number.

It is a super-2 number, since 2×5001114121222242 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 500111412122192 and 500111412122201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105241132 + ... + 109890484.

Almost surely, 2500111412122224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500111412122224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576524508159168).

500111412122224 is an abundant number, since it is smaller than the sum of its proper divisors (652937604196112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

500111412122224 is a wasteful number, since it uses less digits than its factorization.

500111412122224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4649763 (or 4649757 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

Adding to 500111412122224 its reverse (422221214111005), we get a palindrome (922332626233229).

The spelling of 500111412122224 in words is "five hundred trillion, one hundred eleven billion, four hundred twelve million, one hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 101 112 148 202 257 259 296 404 514 518 592 707 808 1028 1036 1414 1616 1799 2056 2072 2828 3598 3737 4112 4144 5656 7196 7474 9509 11312 14392 14948 19018 25957 26159 28784 29896 38036 51914 52318 59792 66563 76072 103828 104636 133126 152144 181699 207656 209272 266252 363398 415312 418544 532504 726796 960409 1065008 1453592 1920818 2907184 3841636 4649353 6722863 7683272 9298706 13445726 15366544 18597412 26891452 32545471 37194824 53782904 65090942 74389648 107565808 130181884 172026061 260363768 344052122 469584653 520727536 688104244 939169306 1194883721 1204182427 1376208488 1878338612 2389767442 2408364854 2752416976 3287092571 3756677224 4779534884 4816729708 6574185142 7513354448 8364186047 9559069768 9633459416 13148370284 16728372094 17374632161 19118139536 19266918832 26296740568 33456744188 34749264322 44210697677 52593481136 66913488376 69498528644 88421395354 120683255821 121622425127 133826976752 138997057288 176842790708 241366511642 243244850254 277994114576 309474883739 353685581416 482733023284 486489700508 618949767478 707371162832 844782790747 965466046568 972979401016 1237899534956 1689565581494 1930932093136 1945958802032 2475799069912 3379131162988 4465280465377 4951598139824 6758262325976 8930560930754 13516524651952 17861121861508 31256963257639 35722243723016 62513926515278 71444487446032 125027853030556 250055706061112 500111412122224