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10776100864 = 2148112
BaseRepresentation
bin10100000100100111…
…00100000000000000
31000211000010122100211
422002103210000000
5134032140211424
64541145123504
7531020226454
oct120223440000
930730118324
1010776100864
11462a912091
122108a89594
131029723259
1474326a664
154310b3b94
hex2824e4000

10776100864 has 45 divisors (see below), whose sum is σ = 21578150811. Its totient is φ = 5381406720.

The previous prime is 10776100849. The next prime is 10776100873. The reversal of 10776100864 is 46800167701.

The square root of 10776100864 is 103808.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×107761008642 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 13287019 + ... + 13287829.

Almost surely, 210776100864 is an apocalyptic number.

10776100864 is the 103808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10776100864

10776100864 is an abundant number, since it is smaller than the sum of its proper divisors (10802049947).

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

10776100864 is an frugal number, since it uses more digits than its factorization.

10776100864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 10776100864 in words is "ten billion, seven hundred seventy-six million, one hundred thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 811 1024 1622 2048 3244 4096 6488 8192 12976 16384 25952 51904 103808 207616 415232 657721 830464 1315442 1660928 2630884 3321856 5261768 6643712 10523536 13287424 21047072 42094144 84188288 168376576 336753152 673506304 1347012608 2694025216 5388050432 10776100864