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257003266016 = 2573137010839
BaseRepresentation
bin1110111101011010010…
…1101001111111100000
3220120100222222122001002
43233112211221333200
513202320314003031
6314022103531132
724365531500640
oct3572645517740
9816328878032
10257003266016
1199aa3709702
1241985a59aa8
131b309c69593
14c62097c520
156a42a7accb
hex3bd6969fe0

257003266016 has 48 divisors (see below), whose sum is σ = 596910827520. Its totient is φ = 106591213440.

The previous prime is 257003266001. The next prime is 257003266019. The reversal of 257003266016 is 610662300752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257003266019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18498476 + ... + 18512363.

It is an arithmetic number, because the mean of its divisors is an integer number (12435642240).

Almost surely, 2257003266016 is an apocalyptic number.

It is an amenable number.

257003266016 is an abundant number, since it is smaller than the sum of its proper divisors (339907561504).

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

257003266016 is a wasteful number, since it uses less digits than its factorization.

257003266016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37010887 (or 37010879 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

Adding to 257003266016 its reverse (610662300752), we get a palindrome (867665566768).

The spelling of 257003266016 in words is "two hundred fifty-seven billion, three million, two hundred sixty-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 37010839 74021678 148043356 259075873 296086712 518151746 592173424 1036303492 1147336009 1184346848 2072606984 2294672018 4145213968 4589344036 8031352063 8290427936 9178688072 16062704126 18357376144 32125408252 36714752288 64250816504 128501633008 257003266016