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163107049084800 = 27352541112927817
BaseRepresentation
bin100101000101100001010001…
…101110001001011110000000
3210101111212210200201021102120
4211011201101232021132000
5132334321214031203200
61334522202142044240
746233044504556162
oct4505412156113600
9711455720637376
10163107049084800
1147a7534701a877
12163632a4879680
137001c0c564652
142c3c5cd758932
1513ccbc6ab39a0
hex945851b89780

163107049084800 has 384 divisors, whose sum is σ = 538722976293600. Its totient is φ = 43374801715200.

The previous prime is 163107049084697. The next prime is 163107049084873. The reversal of 163107049084800 is 8480940701361.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1631070490848002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5863560492 + ... + 5863588308.

Almost surely, 2163107049084800 is an apocalyptic number.

163107049084800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163107049084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269361488146800).

163107049084800 is an abundant number, since it is smaller than the sum of its proper divisors (375615927208800).

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

163107049084800 is a wasteful number, since it uses less digits than its factorization.

163107049084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29514 (or 29497 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 163107049084800 in words is "one hundred sixty-three trillion, one hundred seven billion, forty-nine million, eighty-four thousand, eight hundred".