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258090012963108 = 22332389722342251
BaseRepresentation
bin111010101011101101000011…
…100010101111000100100100
31020211211011102202110000202000
4322223231003202233010210
5232312021321304304413
62312524525401045300
7105235250055442104
oct7253550342570444
91224734382400660
10258090012963108
11752653a5a1a077
1224b436a7186830
13b101a25cb6751
1447a38a23c1204
151ec87a8202073
hexeabb438af124

258090012963108 has 24 divisors (see below), whose sum is σ = 669122255830560. Its totient is φ = 86030004321000.

The previous prime is 258090012963103. The next prime is 258090012963109. The reversal of 258090012963108 is 801369210090852.

258090012963108 is a `hidden beast` number, since 2 + 580 + 9 + 0 + 0 + 1 + 29 + 6 + 31 + 0 + 8 = 666.

258090012963108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2580900129631082 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (258090012963103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1194861171018 + ... + 1194861171233.

It is an arithmetic number, because the mean of its divisors is an integer number (27880093992940).

Almost surely, 2258090012963108 is an apocalyptic number.

It is an amenable number.

258090012963108 is an abundant number, since it is smaller than the sum of its proper divisors (411032242867452).

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

258090012963108 is a wasteful number, since it uses less digits than its factorization.

258090012963108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389722342264 (or 2389722342256 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 258090012963108 in words is "two hundred fifty-eight trillion, ninety billion, twelve million, nine hundred sixty-three thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2389722342251 4779444684502 7169167026753 9558889369004 14338334053506 21507501080259 28676668107012 43015002160518 64522503240777 86030004321036 129045006481554 258090012963108