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163688094720 = 210325193137163
BaseRepresentation
bin1001100001110010010…
…0100001110000000000
3120122111201000202211200
42120130210201300000
510140213123012340
6203110335541200
714553225563643
oct2303444416000
9518451022750
10163688094720
1163468731327
122788298a800
13125883826a7
147ccb675a5a
1543d0651330
hex261c921c00

163688094720 has 1056 divisors, whose sum is σ = 636824647680. Its totient is φ = 38698352640.

The previous prime is 163688094671. The next prime is 163688094761. The reversal of 163688094720 is 27490886361.

163688094720 is a `hidden beast` number, since 163 + 6 + 8 + 8 + 0 + 9 + 472 + 0 = 666.

163688094720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1004221359 + ... + 1004221521.

Almost surely, 2163688094720 is an apocalyptic number.

163688094720 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 163688094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318412323840).

163688094720 is an abundant number, since it is smaller than the sum of its proper divisors (473136552960).

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

163688094720 is a wasteful number, since it uses less digits than its factorization.

163688094720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 163688094720 in words is "one hundred sixty-three billion, six hundred eighty-eight million, ninety-four thousand, seven hundred twenty".