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160681061294112 = 253192316632303137
BaseRepresentation
bin100100100010001101111001…
…100101001010000000100000
3210001220221220102200111120110
4210202031321211022000200
5132030044303142402422
61325423505512211320
745562552326565362
oct4442157145120040
9701827812614513
10160681061294112
114721a501176927
1216031096399b40
136b8720b604908
142b9700d4acd32
151389a3a94b60c
hex92237994a020

160681061294112 has 192 divisors, whose sum is σ = 463569720606720. Its totient is φ = 48506034069504.

The previous prime is 160681061294053. The next prime is 160681061294129. The reversal of 160681061294112 is 211492160186061.

160681061294112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68614608 + ... + 70917744.

It is an arithmetic number, because the mean of its divisors is an integer number (2414425628160).

Almost surely, 2160681061294112 is an apocalyptic number.

160681061294112 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 160681061294112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231784860303360).

160681061294112 is an abundant number, since it is smaller than the sum of its proper divisors (302888659312608).

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

160681061294112 is a wasteful number, since it uses less digits than its factorization.

160681061294112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304855 (or 2304847 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 160681061294112 in words is "one hundred sixty trillion, six hundred eighty-one billion, sixty-one million, two hundred ninety-four thousand, one hundred twelve".