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10460188672 = 21217150221
BaseRepresentation
bin10011011110111100…
…11101000000000000
3222222222200122022021
421233132131000000
5132410302014142
64445542051224
7520133064613
oct115736350000
928888618267
1010460188672
11448855a62a
12203b119b14
13ca914386b
1471331417a
154134b0267
hex26f79d000

10460188672 has 52 divisors (see below), whose sum is σ = 22148431236. Its totient is φ = 4922408960.

The previous prime is 10460188663. The next prime is 10460188681. The reversal of 10460188672 is 27688106401.

It is an interprime number because it is at equal distance from previous prime (10460188663) and next prime (10460188681).

It can be written as a sum of positive squares in 2 ways, for example, as 9326923776 + 1133264896 = 96576^2 + 33664^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5479 + ... + 144742.

Almost surely, 210460188672 is an apocalyptic number.

It is an amenable number.

10460188672 is an abundant number, since it is smaller than the sum of its proper divisors (11688242564).

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

10460188672 is an equidigital number, since it uses as much as digits as its factorization.

10460188672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150262 (or 150240 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The spelling of 10460188672 in words is "ten billion, four hundred sixty million, one hundred eighty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2048 2176 4096 4352 8704 17408 34816 69632 150221 300442 600884 1201768 2403536 2553757 4807072 5107514 9614144 10215028 19228288 20430056 38456576 40860112 76913152 81720224 153826304 163440448 307652608 326880896 615305216 653761792 1307523584 2615047168 5230094336 10460188672