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406632256666463 = 137233269112342169
BaseRepresentation
bin101110001110101000111001…
…1001101100111101101011111
31222022202122221010021011022202
41130131101303031213231133
5411244230330201311323
64000500140240402115
7151436132251301102
oct13435216315475537
91868678833234282
10406632256666463
11108624854009583
123973408001633b
13145b83462b2329
14725b16b714739
153202688c1ed28
hex171d473367b5f

406632256666463 has 32 divisors (see below), whose sum is σ = 413264994667200. Its totient is φ = 400071438176256.

The previous prime is 406632256666387. The next prime is 406632256666477. The reversal of 406632256666463 is 364666652236604.

It is a cyclic number.

It is not a de Polignac number, because 406632256666463 - 224 = 406632239889247 is a prime.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 406632256666463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406632252666463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9642898043 + ... + 9642940211.

It is an arithmetic number, because the mean of its divisors is an integer number (12914531083350).

Almost surely, 2406632256666463 is an apocalyptic number.

406632256666463 is a deficient number, since it is larger than the sum of its proper divisors (6632738000737).

406632256666463 is a wasteful number, since it uses less digits than its factorization.

406632256666463 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43931.

The product of its (nonzero) digits is 806215680, while the sum is 65.

The spelling of 406632256666463 in words is "four hundred six trillion, six hundred thirty-two billion, two hundred fifty-six million, six hundred sixty-six thousand, four hundred sixty-three".

Divisors: 1 137 233 269 1123 31921 36853 42169 62677 153851 261659 302087 5777153 8586749 9825377 11343461 35847283 41385919 47355787 70386271 1346076649 1554054157 2643026413 6487742819 9642919127 11033898371 12738706703 362094618581 1511644076827 1745202818311 2968118661799 406632256666463