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163104710400 = 28375243271
BaseRepresentation
bin1001011111100111001…
…1000101111100000000
3120121000001021210000000
42113321303011330000
510133014301213100
6202532420000000
714532613110012
oct2277163057400
9517001253000
10163104710400
11631993a2025
122773b530000
13124c4553978
147c73db61b2
154399316900
hex25f9cc5f00

163104710400 has 864 divisors, whose sum is σ = 621839088640. Its totient is φ = 42326323200.

The previous prime is 163104710387. The next prime is 163104710441. The reversal of 163104710400 is 4017401361.

It is a happy number.

163104710400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 601862265 + ... + 601862535.

Almost surely, 2163104710400 is an apocalyptic number.

163104710400 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 163104710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310919544320).

163104710400 is an abundant number, since it is smaller than the sum of its proper divisors (458734378240).

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

163104710400 is an frugal number, since it uses more digits than its factorization.

163104710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 163104710400 in words is "one hundred sixty-three billion, one hundred four million, seven hundred ten thousand, four hundred".