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215416456356042 = 23389199225238193
BaseRepresentation
bin110000111110101110001101…
…010111000010000011001010
31001020201121112020002022102000
4300332232031113002003022
5211213340400311343132
62042052542012051430
763242216414236554
oct6076561527020312
91036647466068360
10215416456356042
1162702673799077
12201b119b463b76
1393278b92b6976
143b2a2d80a44d4
1519d8722bd987c
hexc3eb8d5c20ca

215416456356042 has 64 divisors (see below), whose sum is σ = 486514499040000. Its totient is φ = 70641904633344.

The previous prime is 215416456355999. The next prime is 215416456356067. The reversal of 215416456356042 is 240653654614512.

215416456356042 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 16 + 4 + 5 + 63 + 560 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 215416456356042.

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 31 ways as a sum of consecutive naturals, for example, 111662703 + ... + 113575490.

It is an arithmetic number, because the mean of its divisors is an integer number (7601789047500).

Almost surely, 2215416456356042 is an apocalyptic number.

215416456356042 is an abundant number, since it is smaller than the sum of its proper divisors (271098042683958).

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

215416456356042 is a wasteful number, since it uses less digits than its factorization.

215416456356042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225238492 (or 225238486 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 215416456356042 in words is "two hundred fifteen trillion, four hundred sixteen billion, four hundred fifty-six million, three hundred fifty-six thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 89 178 199 267 398 534 597 801 1194 1602 1791 2403 3582 4806 5373 10746 17711 35422 53133 106266 159399 318798 478197 956394 225238193 450476386 675714579 1351429158 2027143737 4054287474 6081431211 12162862422 20046199177 40092398354 44822400407 60138597531 89644800814 120277195062 134467201221 180415792593 268934402442 360831585186 403401603663 541247377779 806803207326 1082494755558 1210204810989 2420409621978 3989193636223 7978387272446 11967580908669 23935161817338 35902742726007 71805485452014 107708228178021 215416456356042