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10132405344 = 25343909107
BaseRepresentation
bin10010110111111000…
…00011110001100000
3222011010220112010000
421123330003301200
5131222343432334
64353232340000
7506043011235
oct113374036140
928133815100
1010132405344
11432a52a116
121b693a4600
13c56268a29
146c198b78c
153e4814299
hex25bf03c60

10132405344 has 60 divisors (see below), whose sum is σ = 29799130284. Its totient is φ = 3377467584.

The previous prime is 10132405337. The next prime is 10132405351. The reversal of 10132405344 is 44350423101.

It is a happy number.

10132405344 is a `hidden beast` number, since 101 + 3 + 24 + 0 + 534 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10132405337) and next prime (10132405351).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1951962 + ... + 1957145.

Almost surely, 210132405344 is an apocalyptic number.

It is an amenable number.

10132405344 is an abundant number, since it is smaller than the sum of its proper divisors (19666724940).

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

10132405344 is an equidigital number, since it uses as much as digits as its factorization.

10132405344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909129 (or 3909112 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10132405344 its reverse (44350423101), we get a palindrome (54482828445).

The spelling of 10132405344 in words is "ten billion, one hundred thirty-two million, four hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 3909107 7818214 11727321 15636428 23454642 31272856 35181963 46909284 62545712 70363926 93818568 105545889 125091424 140727852 187637136 211091778 281455704 316637667 375274272 422183556 562911408 633275334 844367112 1125822816 1266550668 1688734224 2533101336 3377468448 5066202672 10132405344