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25714132320 = 2535230923201
BaseRepresentation
bin10111111100101011…
…101000010101100000
32110101001200021012010
4113330223220111200
5410130304213240
615451331032520
71600135342542
oct277453502540
973331607163
1025714132320
11a9a5a59228
124b9773b740
13256a483316
14135d15d692
15a07737280
hex5fcae8560

25714132320 has 96 divisors (see below), whose sum is σ = 81038089440. Its totient is φ = 6853836800.

The previous prime is 25714132253. The next prime is 25714132337. The reversal of 25714132320 is 2323141752.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×257141323202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1096720 + ... + 1119920.

It is an arithmetic number, because the mean of its divisors is an integer number (844146765).

Almost surely, 225714132320 is an apocalyptic number.

25714132320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25714132320 is an abundant number, since it is smaller than the sum of its proper divisors (55323957120).

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

25714132320 is a wasteful number, since it uses less digits than its factorization.

25714132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25528 (or 25520 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 25714132320 in words is "twenty-five billion, seven hundred fourteen million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2309 4618 6927 9236 11545 13854 18472 23090 23201 27708 34635 36944 46180 46402 55416 69270 69603 73888 92360 92804 110832 116005 138540 139206 184720 185608 221664 232010 277080 278412 348015 369440 371216 464020 554160 556824 696030 742432 928040 1108320 1113648 1392060 1856080 2227296 2784120 3712160 5568240 11136480 53571109 107142218 160713327 214284436 267855545 321426654 428568872 535711090 642853308 803566635 857137744 1071422180 1285706616 1607133270 1714275488 2142844360 2571413232 3214266540 4285688720 5142826464 6428533080 8571377440 12857066160 25714132320