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165427357824 = 2732143600137
BaseRepresentation
bin1001101000010000111…
…1010010100010000000
3120210222220202111021200
42122010033102202000
510202243400422244
6203555110221200
714644305224601
oct2320417224200
9523886674250
10165427357824
1164180481453
1228089354800
13127a47c8261
14801465bda8
1544831ad669
hex26843d2880

165427357824 has 48 divisors (see below), whose sum is σ = 476034457470. Its totient is φ = 55142452224.

The previous prime is 165427357819. The next prime is 165427357853. The reversal of 165427357824 is 428753724561.

165427357824 is a `hidden beast` number, since 1 + 6 + 5 + 42 + 7 + 3 + 578 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88494350400 + 76933007424 = 297480^2 + 277368^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71798917 + ... + 71801220.

Almost surely, 2165427357824 is an apocalyptic number.

It is an amenable number.

165427357824 is an abundant number, since it is smaller than the sum of its proper divisors (310607099646).

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

165427357824 is a wasteful number, since it uses less digits than its factorization.

165427357824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143600157 (or 143600142 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 165427357824 in words is "one hundred sixty-five billion, four hundred twenty-seven million, three hundred fifty-seven thousand, eight hundred twenty-four".

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 143600137 287200274 430800411 574400548 861600822 1148801096 1292401233 1723201644 2297602192 2584802466 3446403288 4595204384 5169604932 6892806576 9190408768 10339209864 13785613152 18380817536 20678419728 27571226304 41356839456 55142452608 82713678912 165427357824