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406264006404 = 223313927062617
BaseRepresentation
bin1011110100101110011…
…10001100011100000100
31102211122020101212101000
411322113032030130010
523124012041201104
6510345103333300
741231413035234
oct5722716143404
91384566355330
10406264006404
111473284930a3
12668a0bb1230
132c406311ac9
1415940095cc4
15a87b7d0639
hex5e9738c704

406264006404 has 48 divisors (see below), whose sum is σ = 1060854625600. Its totient is φ = 134447076288.

The previous prime is 406264006381. The next prime is 406264006441. The reversal of 406264006404 is 404600462604.

It is a happy number.

406264006404 is a `hidden beast` number, since 4 + 0 + 6 + 2 + 6 + 4 + 0 + 0 + 640 + 4 = 666.

It is a super-2 number, since 2×4062640064042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13516297 + ... + 13546320.

Almost surely, 2406264006404 is an apocalyptic number.

It is an amenable number.

406264006404 is an abundant number, since it is smaller than the sum of its proper divisors (654590619196).

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

406264006404 is a wasteful number, since it uses less digits than its factorization.

406264006404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27062769 (or 27062761 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 406264006404 in words is "four hundred six billion, two hundred sixty-four million, six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 139 278 417 556 834 1251 1668 2502 3753 5004 7506 15012 27062617 54125234 81187851 108250468 162375702 243563553 324751404 487127106 730690659 974254212 1461381318 2922762636 3761703763 7523407526 11285111289 15046815052 22570222578 33855333867 45140445156 67710667734 101566001601 135421335468 203132003202 406264006404