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426679144029 = 32181812607601
BaseRepresentation
bin1100011010110000000…
…11110000111001011101
31111210100000002022101100
412031120003300321131
523442314330102104
6524002542503313
742553335612015
oct6153003607135
91453300068340
10426679144029
11154a54287166
126a839b94b39
133130a9cb1b8
1416919562c45
15b173c00139
hex63580f0e5d

426679144029 has 12 divisors (see below), whose sum is σ = 616348454332. Its totient is φ = 284437008000.

The previous prime is 426679144027. The next prime is 426679144033. The reversal of 426679144029 is 920441976624.

426679144029 is a `hidden beast` number, since 426 + 6 + 79 + 144 + 0 + 2 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 317957271129 + 108721872900 = 563877^2 + 329730^2 .

It is not a de Polignac number, because 426679144029 - 21 = 426679144027 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426679144027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1140172 + ... + 1467429.

Almost surely, 2426679144029 is an apocalyptic number.

It is an amenable number.

426679144029 is a deficient number, since it is larger than the sum of its proper divisors (189669310303).

426679144029 is a wasteful number, since it uses less digits than its factorization.

426679144029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625788 (or 2625785 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 426679144029 in words is "four hundred twenty-six billion, six hundred seventy-nine million, one hundred forty-four thousand, twenty-nine".

Divisors: 1 3 9 18181 54543 163629 2607601 7822803 23468409 47408793781 142226381343 426679144029