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257928012456 = 23316076687617
BaseRepresentation
bin1111000000110110110…
…1010010001010101000
3220122202110001121200020
43300031231102022220
513211214032344311
6314253540240440
724430460634462
oct3601555221250
9818673047606
10257928012456
119a428703364
1241ba36a0120
131b42671891a
14c6ab6db132
156a98d44c06
hex3c0db522a8

257928012456 has 32 divisors (see below), whose sum is σ = 645221384640. Its totient is φ = 85922490368.

The previous prime is 257928012437. The next prime is 257928012457. The reversal of 257928012456 is 654210829752.

It is a junction number, because it is equal to n+sod(n) for n = 257928012399 and 257928012408.

It is not an unprimeable number, because it can be changed into a prime (257928012457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3305241 + ... + 3382376.

It is an arithmetic number, because the mean of its divisors is an integer number (20163168270).

Almost surely, 2257928012456 is an apocalyptic number.

It is an amenable number.

257928012456 is an abundant number, since it is smaller than the sum of its proper divisors (387293372184).

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

257928012456 is a wasteful number, since it uses less digits than its factorization.

257928012456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6689233 (or 6689229 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 257928012456 in words is "two hundred fifty-seven billion, nine hundred twenty-eight million, twelve thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 1607 3214 4821 6428 9642 12856 19284 38568 6687617 13375234 20062851 26750468 40125702 53500936 80251404 160502808 10747000519 21494001038 32241001557 42988002076 64482003114 85976004152 128964006228 257928012456