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161881040160 = 25375766089
BaseRepresentation
bin1001011011000011011…
…1001010010100100000
3120110211202201220000000
42112300313022110200
510123013021241120
6202211144300000
714460364065210
oct2266067122440
9513752656000
10161881040160
1162720699504
1227459771600
131235ab92638
147b99684240
154326ba2990
hex25b0dca520

161881040160 has 384 divisors, whose sum is σ = 655528204800. Its totient is φ = 37000820736.

The previous prime is 161881040149. The next prime is 161881040203. The reversal of 161881040160 is 61040188161.

161881040160 is a `hidden beast` number, since 1 + 6 + 188 + 10 + 401 + 60 = 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 63 ways as a sum of consecutive naturals, for example, 2416396 + ... + 2482484.

It is an arithmetic number, because the mean of its divisors is an integer number (1707104700).

Almost surely, 2161881040160 is an apocalyptic number.

161881040160 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 161881040160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327764102400).

161881040160 is an abundant number, since it is smaller than the sum of its proper divisors (493647164640).

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

161881040160 is an frugal number, since it uses more digits than its factorization.

161881040160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66132 (or 66106 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 161881040160 in words is "one hundred sixty-one billion, eight hundred eighty-one million, forty thousand, one hundred sixty".