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10077324864 = 263131400657
BaseRepresentation
bin10010110001010011…
…11100011001000000
3222000022021010220020
421120221330121000
5131114243343424
64343544013440
7504503563605
oct113051743100
928008233806
1010077324864
114301429362
121b52a61280
13c47a22029
146b85306ac
153dea84079
hex258a7c640

10077324864 has 56 divisors (see below), whose sum is σ = 26866522848. Its totient is φ = 3333457920.

The previous prime is 10077324839. The next prime is 10077324883. The reversal of 10077324864 is 46842377001.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175177 + ... + 225480.

Almost surely, 210077324864 is an apocalyptic number.

It is an amenable number.

10077324864 is an abundant number, since it is smaller than the sum of its proper divisors (16789197984).

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

10077324864 is a wasteful number, since it uses less digits than its factorization.

10077324864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400803 (or 400793 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 10077324864 in words is "ten billion, seventy-seven million, three hundred twenty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 192 262 393 524 786 1048 1572 2096 3144 4192 6288 8384 12576 25152 400657 801314 1201971 1602628 2403942 3205256 4807884 6410512 9615768 12821024 19231536 25642048 38463072 52486067 76926144 104972134 157458201 209944268 314916402 419888536 629832804 839777072 1259665608 1679554144 2519331216 3359108288 5038662432 10077324864