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23412630402 = 23273122326879
BaseRepresentation
bin10101110011100000…
…000110001110000010
32020102122222212002100
4111303200012032002
5340422113133102
614431113531230
71456121034450
oct256340061602
966378885070
1023412630402
119a24901827
124654a13b16
132291703675
1411c161d9d0
1592066aa1c
hex573806382

23412630402 has 96 divisors (see below), whose sum is σ = 60114862080. Its totient is φ = 6444269280.

The previous prime is 23412630389. The next prime is 23412630403. The reversal of 23412630402 is 20403621432.

23412630402 is a `hidden beast` number, since 23 + 4 + 1 + 2 + 630 + 4 + 0 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (23412630403) 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, 857599 + ... + 884477.

It is an arithmetic number, because the mean of its divisors is an integer number (626196480).

Almost surely, 223412630402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23412630402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30057431040).

23412630402 is an abundant number, since it is smaller than the sum of its proper divisors (36702231678).

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

23412630402 is a wasteful number, since it uses less digits than its factorization.

23412630402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27148 (or 27145 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 23412630402 in words is "twenty-three billion, four hundred twelve million, six hundred thirty thousand, four hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 223 279 434 446 558 651 669 1302 1338 1561 1953 2007 3122 3906 4014 4683 6913 9366 13826 14049 20739 26879 28098 41478 48391 53758 62217 80637 96782 124434 145173 161274 188153 241911 290346 376306 435519 483822 564459 833249 871038 1128918 1666498 1693377 2499747 3386754 4999494 5832743 5994017 7499241 11665486 11988034 14998482 17498229 17982051 34996458 35964102 41958119 52494687 53946153 83916238 104989374 107892306 125874357 185814527 251748714 371629054 377623071 557443581 755246142 1114887162 1300701689 1672330743 2601403378 3344661486 3902105067 7804210134 11706315201 23412630402