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10335769088 = 2944932
BaseRepresentation
bin10011010000000111…
…10101001000000000
3222200022120110201112
421220003311020000
5132131424102323
64425335222452
7514062405401
oct115003651000
928608513645
1010335769088
1144242aa327
122005517a28
13c894300c8
147009a79a8
154075d5178
hex2680f5200

10335769088 has 30 divisors (see below), whose sum is σ = 20655948489. Its totient is φ = 5166734336.

The previous prime is 10335769069. The next prime is 10335769097. The reversal of 10335769088 is 88096753301.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 5783298304 + 4552470784 = 76048^2 + 67472^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=71888.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2298170 + ... + 2302662.

Almost surely, 210335769088 is an apocalyptic number.

It is an amenable number.

10335769088 is a deficient number, since it is larger than the sum of its proper divisors (10320179401).

10335769088 is an frugal number, since it uses more digits than its factorization.

10335769088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9004 (or 4495 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

Multiplying 10335769088 by its sum of digits (50), we get a square (516788454400 = 7188802).

The spelling of 10335769088 in words is "ten billion, three hundred thirty-five million, seven hundred sixty-nine thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 4493 8986 17972 35944 71888 143776 287552 575104 1150208 2300416 20187049 40374098 80748196 161496392 322992784 645985568 1291971136 2583942272 5167884544 10335769088