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12400446645 = 325860932009
BaseRepresentation
bin10111000110001111…
…11100110010110101
31012000012121221212200
423203013330302311
5200344003243040
65410252335113
7616203025446
oct134307746265
935005557780
1012400446645
115293802114
1224a0a74499
1312281014c2
14858c9b2cd
154c89c1630
hex2e31fccb5

12400446645 has 24 divisors (see below), whose sum is σ = 21497275800. Its totient is φ = 6612596736.

The previous prime is 12400446637. The next prime is 12400446647. The reversal of 12400446645 is 54664400421.

12400446645 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 0 + 4 + 4 + 6 + 645 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 477772164 + 11922674481 = 21858^2 + 109191^2 .

It is not a de Polignac number, because 12400446645 - 23 = 12400446637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12400446647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371401 + ... + 403409.

It is an arithmetic number, because the mean of its divisors is an integer number (895719825).

Almost surely, 212400446645 is an apocalyptic number.

12400446645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12400446645 is a deficient number, since it is larger than the sum of its proper divisors (9096829155).

12400446645 is a wasteful number, since it uses less digits than its factorization.

12400446645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40629 (or 40626 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 12400446645 in words is "twelve billion, four hundred million, four hundred forty-six thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 8609 25827 32009 43045 77481 96027 129135 160045 288081 387405 480135 1440405 275565481 826696443 1377827405 2480089329 4133482215 12400446645