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163137319680 = 2835192837901
BaseRepresentation
bin1001011111101110111…
…1011111001100000000
3120121002022122111112010
42113323233133030000
510133101123212210
6202535542532520
714533460223546
oct2277357371400
9517068574463
10163137319680
1163205844945
122774a437140
13124cb2304ba
147c78463d96
15439c108920
hex25fbbdf300

163137319680 has 288 divisors, whose sum is σ = 550449527040. Its totient is φ = 41062809600.

The previous prime is 163137319663. The next prime is 163137319711. The reversal of 163137319680 is 86913731361.

It is a super-2 number, since 2×1631373196802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20643730 + ... + 20651630.

It is an arithmetic number, because the mean of its divisors is an integer number (1911283080).

Almost surely, 2163137319680 is an apocalyptic number.

163137319680 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 163137319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275224763520).

163137319680 is an abundant number, since it is smaller than the sum of its proper divisors (387312207360).

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

163137319680 is a wasteful number, since it uses less digits than its factorization.

163137319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8227 (or 8213 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 163137319680 in words is "one hundred sixty-three billion, one hundred thirty-seven million, three hundred nineteen thousand, six hundred eighty".