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215540562042 = 232131251773589
BaseRepresentation
bin1100100010111100110…
…1111111100001111010
3202121100101121000220100
43020233031333201322
512012411340441132
6243003514140230
721400203356031
oct3105715774172
9677311530810
10215540562042
1183457034503
1235934121676
131742cb52910
14a60a019718
15591796537c
hex322f37f87a

215540562042 has 48 divisors (see below), whose sum is σ = 502974992520. Its totient is φ = 66313973376.

The previous prime is 215540562011. The next prime is 215540562059. The reversal of 215540562042 is 240265045512.

215540562042 is a `hidden beast` number, since 2 + 1 + 5 + 54 + 0 + 562 + 0 + 42 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 211130141121 + 4410420921 = 459489^2 + 66411^2 .

It is a junction number, because it is equal to n+sod(n) for n = 215540561988 and 215540562006.

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, 2892184 + ... + 2965772.

Almost surely, 2215540562042 is an apocalyptic number.

215540562042 is an abundant number, since it is smaller than the sum of its proper divisors (287434430478).

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

215540562042 is a wasteful number, since it uses less digits than its factorization.

215540562042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86127 (or 86124 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 215540562042 in words is "two hundred fifteen billion, five hundred forty million, five hundred sixty-two thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 12517 25034 37551 73589 75102 112653 147178 162721 220767 225306 325442 441534 488163 662301 956657 976326 1324602 1464489 1913314 2869971 2928978 5739942 8609913 17219826 921113513 1842227026 2763340539 5526681078 8290021617 11974475669 16580043234 23948951338 35923427007 71846854014 107770281021 215540562042