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257329268440 = 23554111891371
BaseRepresentation
bin1110111110101000000…
…1010000011011011000
3220121012201102021021221
43233222001100123120
513204002243042230
6314114311141424
724406600456216
oct3575201203330
9817181367257
10257329268440
119a1507330a2
1241a57074874
131b35c66c91a
14c651d9dcb6
156a614c427a
hex3bea0506d8

257329268440 has 32 divisors (see below), whose sum is σ = 580061126160. Its totient is φ = 102741436800.

The previous prime is 257329268437. The next prime is 257329268473. The reversal of 257329268440 is 44862923752.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5924046 + ... + 5967325.

Almost surely, 2257329268440 is an apocalyptic number.

257329268440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257329268440 is an abundant number, since it is smaller than the sum of its proper divisors (322731857720).

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

257329268440 is a wasteful number, since it uses less digits than its factorization.

257329268440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11891923 (or 11891919 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 257329268440 in words is "two hundred fifty-seven billion, three hundred twenty-nine million, two hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 541 1082 2164 2705 4328 5410 10820 21640 11891371 23782742 47565484 59456855 95130968 118913710 237827420 475654840 6433231711 12866463422 25732926844 32166158555 51465853688 64332317110 128664634220 257329268440