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258193128032 = 2572713424861
BaseRepresentation
bin1111000001110110000…
…0100111101001100000
3220200102220220212212122
43300131200213221200
513212234420044112
6314340130443412
724440160243260
oct3603540475140
9820386825778
10258193128032
119a554320644
1242058433568
131b469621448
14c6d49cd7a0
156ab2262872
hex3c1d827a60

258193128032 has 48 divisors (see below), whose sum is σ = 581150035872. Its totient is φ = 110613150720.

The previous prime is 258193127993. The next prime is 258193128041. The reversal of 258193128032 is 230821391852.

It is a congruent number.

It is an unprimeable number.

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, 395282 + ... + 820142.

It is an arithmetic number, because the mean of its divisors is an integer number (12107292414).

Almost surely, 2258193128032 is an apocalyptic number.

It is an amenable number.

258193128032 is an abundant number, since it is smaller than the sum of its proper divisors (322956907840).

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

258193128032 is a wasteful number, since it uses less digits than its factorization.

258193128032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427591 (or 427583 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 258193128032 in words is "two hundred fifty-eight billion, one hundred ninety-three million, one hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 2713 5426 10852 18991 21704 37982 43408 75964 86816 151928 303856 424861 607712 849722 1699444 2974027 3398888 5948054 6797776 11896108 13595552 23792216 47584432 95168864 1152647893 2305295786 4610591572 8068535251 9221183144 16137070502 18442366288 32274141004 36884732576 64548282008 129096564016 258193128032