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25468324740 = 22325773183041
BaseRepresentation
bin10111101110000001…
…111100101110000100
32102201221010221120200
4113232001330232010
5404124342342430
615411110330500
71561062121425
oct275601745604
972657127520
1025468324740
11a88a229371
124b29359a30
13252b57ac51
14133865564c
159e0d80460
hex5ee07cb84

25468324740 has 72 divisors (see below), whose sum is σ = 77354281368. Its totient is φ = 6782730240.

The previous prime is 25468324657. The next prime is 25468324751. The reversal of 25468324740 is 4742386452.

It is a happy number.

25468324740 is a `hidden beast` number, since 2 + 546 + 8 + 32 + 4 + 74 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1042385796 + 24425938944 = 32286^2 + 156288^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47620 + ... + 230660.

It is an arithmetic number, because the mean of its divisors is an integer number (1074365019).

Almost surely, 225468324740 is an apocalyptic number.

25468324740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25468324740 is an abundant number, since it is smaller than the sum of its proper divisors (51885956628).

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

25468324740 is a wasteful number, since it uses less digits than its factorization.

25468324740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183829 (or 183824 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 25468324740 in words is "twenty-five billion, four hundred sixty-eight million, three hundred twenty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 773 1546 2319 3092 3865 4638 6957 7730 9276 11595 13914 15460 23190 27828 34785 46380 69570 139140 183041 366082 549123 732164 915205 1098246 1647369 1830410 2196492 2745615 3294738 3660820 5491230 6589476 8236845 10982460 16473690 32947380 141490693 282981386 424472079 565962772 707453465 848944158 1273416237 1414906930 1697888316 2122360395 2546832474 2829813860 4244720790 5093664948 6367081185 8489441580 12734162370 25468324740