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270216046551168 = 2732234562540409
BaseRepresentation
bin111101011100001010010011…
…011101111010000010000000
31022102202101211212221202212100
4331130022103131322002000
5240404204430404114133
62354411312120230400
7110626315351336554
oct7534122335720200
91272671755852770
10270216046551168
117910aa88840003
122638181b30b400
13b7a13578b9633
144aa2752779864
152138e15b47e13
hexf5c29377a080

270216046551168 has 48 divisors (see below), whose sum is σ = 777574821459150. Its totient is φ = 90072015516672.

The previous prime is 270216046551131. The next prime is 270216046551181. The reversal of 270216046551168 is 861155640612072.

270216046551168 is a `hidden beast` number, since 2 + 7 + 0 + 2 + 1 + 6 + 0 + 4 + 65 + 511 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 214802791447104 + 55413255104064 = 14656152^2 + 7444008^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 117281269053 + ... + 117281271356.

Almost surely, 2270216046551168 is an apocalyptic number.

It is an amenable number.

270216046551168 is an abundant number, since it is smaller than the sum of its proper divisors (507358774907982).

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

270216046551168 is a wasteful number, since it uses less digits than its factorization.

270216046551168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234562540429 (or 234562540414 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 270216046551168 in words is "two hundred seventy trillion, two hundred sixteen billion, forty-six million, five hundred fifty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 234562540409 469125080818 703687621227 938250161636 1407375242454 1876500323272 2111062863681 2814750484908 3753000646544 4222125727362 5629500969816 7506001293088 8444251454724 11259001939632 15012002586176 16888502909448 22518003879264 30024005172352 33777005818896 45036007758528 67554011637792 90072015517056 135108023275584 270216046551168