Search a number
-
+
55100463640 = 23537227401409
BaseRepresentation
bin110011010100001111…
…100101101000011000
312021020001020120101121
4303110033211220120
51400321204314030
641151322055024
73660304133065
oct632417455030
9167201216347
1055100463640
1121405858962
12a81904a474
135271675151
142949ca3c6c
15167754347a
hexcd43e5a18

55100463640 has 128 divisors (see below), whose sum is σ = 128520043200. Its totient is φ = 21244723200.

The previous prime is 55100463569. The next prime is 55100463643. The reversal of 55100463640 is 4636400155.

It is a super-2 number, since 2×551004636402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55100463596 and 55100463605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55100463643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134719756 + ... + 134720164.

Almost surely, 255100463640 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 55100463640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64260021600).

55100463640 is an abundant number, since it is smaller than the sum of its proper divisors (73419579560).

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

55100463640 is a wasteful number, since it uses less digits than its factorization.

55100463640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 55100463640 its reverse (4636400155), we get a palindrome (59736863795).

The spelling of 55100463640 in words is "fifty-five billion, one hundred million, four hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 227 296 370 401 409 454 740 802 818 908 1135 1480 1604 1636 1816 2005 2045 2270 3208 3272 4010 4090 4540 8020 8180 8399 9080 14837 15133 16040 16360 16798 29674 30266 33596 41995 59348 60532 67192 74185 75665 83990 91027 92843 118696 121064 148370 151330 164009 167980 182054 185686 296740 302660 328018 335960 364108 371372 455135 464215 593480 605320 656036 728216 742744 820045 910270 928430 1312072 1640090 1820540 1856860 3280180 3367999 3435191 3641080 3713720 6068333 6560360 6735998 6870382 12136666 13471996 13740764 16839995 17175955 24273332 26943992 27481528 30341665 33679990 34351910 37230043 48546664 60683330 67359980 68703820 74460086 121366660 134719960 137407640 148920172 186150215 242733320 297840344 372300430 744600860 1377511591 1489201720 2755023182 5510046364 6887557955 11020092728 13775115910 27550231820 55100463640