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264406606304142 = 231511006728989721
BaseRepresentation
bin111100000111100111110101…
…110110000101001110001110
31021200012000200000012200001210
4330013213311312011032032
5234124014212203213032
62334202415034115250
7106456514122112331
oct7407476566051616
91250160600180053
10264406606304142
1177280237213505
12257a393157bb26
13b46c588b35023
1449414c2db6618
152087c514942cc
hexf079f5d8538e

264406606304142 has 32 divisors (see below), whose sum is σ = 532368182479104. Its totient is φ = 87543156456000.

The previous prime is 264406606304107. The next prime is 264406606304147. The reversal of 264406606304142 is 241403606604462.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 264406606304091 and 264406606304100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264406606304147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5374159 + ... + 23615562.

It is an arithmetic number, because the mean of its divisors is an integer number (16636505702472).

Almost surely, 2264406606304142 is an apocalyptic number.

264406606304142 is an abundant number, since it is smaller than the sum of its proper divisors (267961576174962).

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

264406606304142 is a wasteful number, since it uses less digits than its factorization.

264406606304142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28999944.

The product of its (nonzero) digits is 3981312, while the sum is 48.

The spelling of 264406606304142 in words is "two hundred sixty-four trillion, four hundred six billion, six hundred six million, three hundred four thousand, one hundred forty-two".

Divisors: 1 2 3 6 151 302 453 906 10067 20134 30201 60402 1520117 3040234 4560351 9120702 28989721 57979442 86969163 173938326 4377447871 8754895742 13132343613 26264687226 291839521307 583679042614 875518563921 1751037127842 44067767717357 88135535434714 132203303152071 264406606304142