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257302063128 = 23311974629027
BaseRepresentation
bin1110111110100001100…
…1011110100000011000
3220121010211020002121210
43233220121132200120
513203423312010003
6314111500103120
724406120310355
oct3575031364030
9817124202553
10257302063128
119a137341370
1241a49b34aa0
131b356b359c6
14c64c51b62c
156a5dded503
hex3be865e818

257302063128 has 32 divisors (see below), whose sum is σ = 701732900160. Its totient is φ = 77970322080.

The previous prime is 257302063121. The next prime is 257302063141. The reversal of 257302063128 is 821360203752.

257302063128 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257302063121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 487314250 + ... + 487314777.

It is an arithmetic number, because the mean of its divisors is an integer number (21929153130).

Almost surely, 2257302063128 is an apocalyptic number.

It is an amenable number.

257302063128 is an abundant number, since it is smaller than the sum of its proper divisors (444430837032).

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

257302063128 is a wasteful number, since it uses less digits than its factorization.

257302063128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974629047 (or 974629043 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 257302063128 in words is "two hundred fifty-seven billion, three hundred two million, sixty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 974629027 1949258054 2923887081 3898516108 5847774162 7797032216 10720919297 11695548324 21441838594 23391096648 32162757891 42883677188 64325515782 85767354376 128651031564 257302063128