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163765625120 = 2551023535157
BaseRepresentation
bin1001100010000100110…
…0010010000100100000
3120122201002220201112222
42120201030102010200
510140343000000440
6203122145410212
714555156563046
oct2304114220440
9518632821488
10163765625120
11634a8476039
12278a4939968
131259b459976
147cd7a98396
1543d73682b5
hex2621312120

163765625120 has 24 divisors (see below), whose sum is σ = 386896289724. Its totient is φ = 65506249984.

The previous prime is 163765625117. The next prime is 163765625123. The reversal of 163765625120 is 21526567361.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (163765625117) and next prime (163765625123).

It can be written as a sum of positive squares in 2 ways, for example, as 163736766736 + 28858384 = 404644^2 + 5372^2 .

It is not an unprimeable number, because it can be changed into a prime (163765625123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 511767419 + ... + 511767738.

Almost surely, 2163765625120 is an apocalyptic number.

163765625120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

163765625120 is an abundant number, since it is smaller than the sum of its proper divisors (223130664604).

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

163765625120 is a wasteful number, since it uses less digits than its factorization.

163765625120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023535172 (or 1023535164 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

The spelling of 163765625120 in words is "one hundred sixty-three billion, seven hundred sixty-five million, six hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1023535157 2047070314 4094140628 5117675785 8188281256 10235351570 16376562512 20470703140 32753125024 40941406280 81882812560 163765625120