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257245329696 = 25323116506037
BaseRepresentation
bin1110111110010100000…
…1000011100100100000
3220120222212110201222120
43233211001003210200
513203314301022241
6314102112104240
724404531136645
oct3574501034440
9816885421876
10257245329696
119a108311733
1241a32b35080
131b348160824
14c644b8ddcc
156a58e43666
hex3be5043920

257245329696 has 48 divisors (see below), whose sum is σ = 704628517824. Its totient is φ = 82020249344.

The previous prime is 257245329659. The next prime is 257245329703. The reversal of 257245329696 is 696923542752.

It is a tau number, because it is divible by the number of its divisors (48).

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, 58250811 + ... + 58255226.

It is an arithmetic number, because the mean of its divisors is an integer number (14679760788).

Almost surely, 2257245329696 is an apocalyptic number.

It is an amenable number.

257245329696 is an abundant number, since it is smaller than the sum of its proper divisors (447383188128).

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

257245329696 is a wasteful number, since it uses less digits than its factorization.

257245329696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116506073 (or 116506065 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 60.

The spelling of 257245329696 in words is "two hundred fifty-seven billion, two hundred forty-five million, three hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 116506037 233012074 349518111 466024148 699036222 932048296 1398072444 1864096592 2679638851 2796144888 3728193184 5359277702 5592289776 8038916553 10718555404 11184579552 16077833106 21437110808 32155666212 42874221616 64311332424 85748443232 128622664848 257245329696