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257340395060 = 22571838145679
BaseRepresentation
bin1110111110101010101…
…1101100111000110100
3220121020111100120010222
43233222223230320310
513204013120120220
6314115345433512
724410064160310
oct3575253547064
9817214316128
10257340395060
119a156a42751
1241a5a93b898
131b361a67218
14c653658b40
156a62470e25
hex3beaaece34

257340395060 has 24 divisors (see below), whose sum is σ = 617616948480. Its totient is φ = 88230992544.

The previous prime is 257340395017. The next prime is 257340395119. The reversal of 257340395060 is 60593043752.

257340395060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 919072700 + ... + 919072979.

It is an arithmetic number, because the mean of its divisors is an integer number (25734039520).

Almost surely, 2257340395060 is an apocalyptic number.

257340395060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257340395060 is an abundant number, since it is smaller than the sum of its proper divisors (360276553420).

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

257340395060 is a wasteful number, since it uses less digits than its factorization.

257340395060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838145695 (or 1838145693 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 44.

The spelling of 257340395060 in words is "two hundred fifty-seven billion, three hundred forty million, three hundred ninety-five thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1838145679 3676291358 7352582716 9190728395 12867019753 18381456790 25734039506 36762913580 51468079012 64335098765 128670197530 257340395060