Search a number
-
+
51355022124 = 22372181499967
BaseRepresentation
bin101111110100111111…
…110111001100101100
311220120000112102112110
4233310333313030230
51320133341201444
635331524204020
73465424325400
oct576477671454
9156500472473
1051355022124
111a86363124a
129b52839610
134ac5700c73
1426b2695100
151508802cb9
hexbf4ff732c

51355022124 has 144 divisors (see below), whose sum is σ = 140588448000. Its totient is φ = 14547496320.

The previous prime is 51355022123. The next prime is 51355022129. The reversal of 51355022124 is 42122055315.

It is a junction number, because it is equal to n+sod(n) for n = 51355022091 and 51355022100.

It is not an unprimeable number, because it can be changed into a prime (51355022123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53107089 + ... + 53108055.

Almost surely, 251355022124 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 51355022124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70294224000).

51355022124 is an abundant number, since it is smaller than the sum of its proper divisors (89233425876).

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

51355022124 is a wasteful number, since it uses less digits than its factorization.

51355022124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 51355022124 its reverse (42122055315), we get a palindrome (93477077439).

The spelling of 51355022124 in words is "fifty-one billion, three hundred fifty-five million, twenty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 181 196 294 362 499 543 588 724 967 998 1086 1267 1497 1934 1996 2172 2534 2901 2994 3493 3801 3868 5068 5802 5988 6769 6986 7602 8869 10479 11604 13538 13972 15204 17738 20307 20958 24451 26607 27076 35476 40614 41916 47383 48902 53214 73353 81228 90319 94766 97804 106428 142149 146706 175027 180638 189532 270957 284298 293412 350054 361276 482533 525081 541914 568596 632233 700108 965066 1050162 1083828 1225189 1264466 1447599 1896699 1930132 2100324 2450378 2528932 2895198 3377731 3675567 3793398 4425631 4900756 5790396 6755462 7351134 7586796 8576323 8851262 10133193 13276893 13510924 14702268 17152646 17702524 20266386 23644117 25728969 26553786 34305292 40532772 47288234 51457938 53107572 70932351 87338473 94576468 102915876 141864702 174676946 262015419 283729404 349353892 524030838 611369311 1048061676 1222738622 1834107933 2445477244 3668215866 4279585177 7336431732 8559170354 12838755531 17118340708 25677511062 51355022124