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116362597572 = 223313201141213
BaseRepresentation
bin110110001011111000…
…0000101010011000100
3102010100111202102102000
41230113300011103010
53401302311110242
6125242314145300
711256400521414
oct1542760052304
9363314672360
10116362597572
114539271a911
121a675722230
13ac8573cb40
1458bc21c644
1530609a6a4c
hex1b17c054c4

116362597572 has 96 divisors (see below), whose sum is σ = 325056466560. Its totient is φ = 35785203840.

The previous prime is 116362597459. The next prime is 116362597573. The reversal of 116362597572 is 275795263611.

It is a happy number.

116362597572 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 62 + 5 + 9 + 7 + 572 = 666.

It is a super-2 number, since 2×1163625975722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (116362597573) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2802838 + ... + 2844050.

It is an arithmetic number, because the mean of its divisors is an integer number (3386004860).

Almost surely, 2116362597572 is an apocalyptic number.

116362597572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116362597572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162528233280).

116362597572 is an abundant number, since it is smaller than the sum of its proper divisors (208693868988).

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

116362597572 is a wasteful number, since it uses less digits than its factorization.

116362597572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43250 (or 43242 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The spelling of 116362597572 in words is "one hundred sixteen billion, three hundred sixty-two million, five hundred ninety-seven thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 2011 4022 6033 8044 12066 18099 24132 26143 36198 41213 52286 54297 72396 78429 82426 104572 108594 123639 156858 164852 217188 235287 247278 313716 370917 470574 494556 535769 705861 741834 941148 1071538 1112751 1411722 1483668 1607307 2143076 2225502 2823444 3214614 4451004 4821921 6429228 9643842 14465763 19287684 28931526 57863052 82879343 165758686 248638029 331517372 497276058 745914087 994552116 1077431459 1491828174 2154862918 2237742261 2983656348 3232294377 4309725836 4475484522 6464588754 8950969044 9696883131 12929177508 19393766262 29090649393 38787532524 58181298786 116362597572