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23129272747464 = 2331325702483419
BaseRepresentation
bin1010100001001001101000…
…00101100000010111001000
310000220010200210012202210120
411100210310011200113020
511012422222310404324
6121105235145143240
74605014640345402
oct520446405402710
9100803623182716
1023129272747464
11740808453a294
12271673678ab20
13cba109126800
1459d669bcdb72
152a19a3686179
hex1509341605c8

23129272747464 has 48 divisors (see below), whose sum is σ = 62613267951600. Its totient is φ = 7116699305664.

The previous prime is 23129272747459. The next prime is 23129272747513. The reversal of 23129272747464 is 46474727292132.

It is a happy number.

It is a super-3 number, since 3×231292727474643 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 23129272747398 and 23129272747407.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2851237654 + ... + 2851245765.

It is an arithmetic number, because the mean of its divisors is an integer number (1304443082325).

Almost surely, 223129272747464 is an apocalyptic number.

23129272747464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23129272747464 is an abundant number, since it is smaller than the sum of its proper divisors (39483995204136).

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

23129272747464 is a wasteful number, since it uses less digits than its factorization.

23129272747464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5702483454 (or 5702483437 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 60.

The spelling of 23129272747464 in words is "twenty-three trillion, one hundred twenty-nine billion, two hundred seventy-two million, seven hundred forty-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 4056 5702483419 11404966838 17107450257 22809933676 34214900514 45619867352 68429801028 74132284447 136859602056 148264568894 222396853341 296529137788 444793706682 593058275576 889587413364 963719697811 1779174826728 1927439395622 2891159093433 3854878791244 5782318186866 7709757582488 11564636373732 23129272747464