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161315156160 = 26325127441041
BaseRepresentation
bin1001011000111100100…
…0011111000011000000
3120102101022221000002100
42112033020133003000
510120333134444120
6202035051350400
714440353126504
oct2261710370300
9512338830070
10161315156160
1162460222484
1227320152400
131229a880332
147b4445c304
1542e2173490
hex258f21f0c0

161315156160 has 168 divisors, whose sum is σ = 559227142656. Its totient is φ = 42678558720.

The previous prime is 161315156153. The next prime is 161315156179. The reversal of 161315156160 is 61651513161.

161315156160 is a `hidden beast` number, since 1 + 6 + 1 + 31 + 5 + 1 + 5 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145240 + ... + 586280.

It is an arithmetic number, because the mean of its divisors is an integer number (3328732992).

Almost surely, 2161315156160 is an apocalyptic number.

161315156160 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 161315156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279613571328).

161315156160 is an abundant number, since it is smaller than the sum of its proper divisors (397911986496).

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

161315156160 is a wasteful number, since it uses less digits than its factorization.

161315156160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441191 (or 441178 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 161315156160 in words is "one hundred sixty-one billion, three hundred fifteen million, one hundred fifty-six thousand, one hundred sixty".