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159092968320 = 27345112131951
BaseRepresentation
bin1001010000101010101…
…1100000101110000000
3120012122110111011110000
42110022223200232000
510101310244441240
6201030350240000
714331320626656
oct2241253405600
9505573434400
10159092968320
116151a918900
12269bbab6000
13120053807a0
1479b3286dd6
154212022430
hex250aae0b80

159092968320 has 960 divisors, whose sum is σ = 672877941120. Its totient is φ = 35582976000.

The previous prime is 159092968319. The next prime is 159092968373. The reversal of 159092968320 is 23869290951.

It is a happy number.

159092968320 is a `hidden beast` number, since 1 + 590 + 9 + 29 + 6 + 8 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 81543345 + ... + 81545295.

It is an arithmetic number, because the mean of its divisors is an integer number (700914522).

Almost surely, 2159092968320 is an apocalyptic number.

159092968320 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 159092968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336438970560).

159092968320 is an abundant number, since it is smaller than the sum of its proper divisors (513784972800).

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

159092968320 is a wasteful number, since it uses less digits than its factorization.

159092968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 159092968320 in words is "one hundred fifty-nine billion, ninety-two million, nine hundred sixty-eight thousand, three hundred twenty".