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163890453792 = 253132331672749
BaseRepresentation
bin1001100010100010100…
…0011101110100100000
3120200000210210200022010
42120220220131310200
510141121424010132
6203142405112520
714561233605042
oct2305050356440
9520023720263
10163890453792
116356198572a
122791a6b8740
13125bb2846a0
147d0a4ada92
1543e32c46cc
hex2628a1dd20

163890453792 has 384 divisors, whose sum is σ = 506677248000. Its totient is φ = 45965905920.

The previous prime is 163890453787. The next prime is 163890453803. The reversal of 163890453792 is 297354098361.

163890453792 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59616834 + ... + 59619582.

It is an arithmetic number, because the mean of its divisors is an integer number (1319472000).

It is a 1-persistent number, because it is pandigital, but 2⋅163890453792 = 327780907584 is not.

Almost surely, 2163890453792 is an apocalyptic number.

163890453792 is a gapful number since it is divisible by the number (12) 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 163890453792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253338624000).

163890453792 is an abundant number, since it is smaller than the sum of its proper divisors (342786794208).

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

163890453792 is a wasteful number, since it uses less digits than its factorization.

163890453792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 163890453792 in words is "one hundred sixty-three billion, eight hundred ninety million, four hundred fifty-three thousand, seven hundred ninety-two".