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23160541213432 = 2373740160146381
BaseRepresentation
bin1010100010000011110111…
…10101001111001011111000
310001000010101221100102100201
411101001323311033023320
511013430242022312212
6121131450013011544
74610202542046640
oct521017365171370
9101003357312321
1023160541213432
11741a36a7a25a7
122720802483bb4
13cc005023558c
145a0d948ab520
152a26d3821b57
hex15107bd4f2f8

23160541213432 has 128 divisors (see below), whose sum is σ = 51184310647680. Its totient is φ = 9617356800000.

The previous prime is 23160541213417. The next prime is 23160541213451. The reversal of 23160541213432 is 23431214506132.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 23160541213391 and 23160541213400.

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, 499330882 + ... + 499377262.

It is an arithmetic number, because the mean of its divisors is an integer number (399877426935).

Almost surely, 223160541213432 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 23160541213432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25592155323840).

23160541213432 is an abundant number, since it is smaller than the sum of its proper divisors (28023769434248).

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

23160541213432 is a wasteful number, since it uses less digits than its factorization.

23160541213432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47433 (or 47429 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

Adding to 23160541213432 its reverse (23431214506132), we get a palindrome (46591755719564).

The spelling of 23160541213432 in words is "twenty-three trillion, one hundred sixty billion, five hundred forty-one million, two hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 401 518 601 802 1036 1202 1604 2072 2404 2807 3208 4207 4808 5614 8414 11228 14837 16828 22237 22456 29674 33656 44474 46381 59348 88948 92762 103859 118696 155659 177896 185524 207718 241001 311318 324667 371048 415436 482002 622636 649334 830872 964004 1245272 1298668 1687007 1716097 1928008 2597336 3374014 3432194 6748028 6864388 8917037 12012679 13496056 13728776 17834074 18598781 24025358 27874981 35668148 37197562 48050716 55749962 62419259 71336296 74395124 96101432 111499924 124838518 130191467 148790248 195124867 222999848 249677036 260382934 390249734 499354072 520765868 688154897 780499468 1031374297 1041531736 1376309794 1560998936 2062748594 2752619588 4125497188 4817084279 5505239176 7219620079 8250994376 9634168558 11177867381 14439240158 19268337116 22355734762 28878480316 38536674232 44711469524 57756960632 78245071667 89422939048 156490143334 312980286668 413581093097 625960573336 827162186194 1654324372388 2895067651679 3308648744776 5790135303358 11580270606716 23160541213432