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406422224604 = 2232114992056751
BaseRepresentation
bin1011110101000001010…
…01101111111011011100
31102212001021010011221100
411322200221233323130
523124323042141404
6510412514433100
741235343623624
oct5724051577334
91385037104840
10406422224604
111473a9828840
1266925b92790
132c43002a546
14159570bd884
15a88a634d39
hex5ea0a6fedc

406422224604 has 72 divisors (see below), whose sum is σ = 1122986592000. Its totient is φ = 122911380000.

The previous prime is 406422224599. The next prime is 406422224639.

406422224604 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 2 + 22 + 24 + 604 = 666.

406422224604 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 830772 + ... + 1225979.

It is an arithmetic number, because the mean of its divisors is an integer number (15597036000).

Almost surely, 2406422224604 is an apocalyptic number.

406422224604 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

406422224604 is an abundant number, since it is smaller than the sum of its proper divisors (716564367396).

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

406422224604 is a wasteful number, since it uses less digits than its factorization.

406422224604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057271 (or 2057266 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 406422224604 in words is "four hundred six billion, four hundred twenty-two million, two hundred twenty-four thousand, six hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 499 998 1497 1996 2994 4491 5489 5988 8982 10978 16467 17964 21956 32934 49401 65868 98802 197604 2056751 4113502 6170253 8227004 12340506 18510759 22624261 24681012 37021518 45248522 67872783 74043036 90497044 135745566 203618349 271491132 407236698 814473396 1026318749 2052637498 3078956247 4105274996 6157912494 9236868741 11289506239 12315824988 18473737482 22579012478 33868518717 36947474964 45158024956 67737037434 101605556151 135474074868 203211112302 406422224604