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104162081472 = 26325919315881
BaseRepresentation
bin110000100000010001…
…0110011101011000000
3100221212020022222200100
41201000202303223000
53201310443101342
6115503522522400
710345143040551
oct1410042635300
9327766288610
10104162081472
11401a1863559
121822b806400
139a8cba0147
145081b26328
152a99828e4c
hex18408b3ac0

104162081472 has 168 divisors, whose sum is σ = 305214558480. Its totient is φ = 33953218560.

The previous prime is 104162081389. The next prime is 104162081497. The reversal of 104162081472 is 274180261401.

It is a happy number.

104162081472 is a `hidden beast` number, since 10 + 4 + 1 + 620 + 8 + 14 + 7 + 2 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6550972 + ... + 6566852.

Almost surely, 2104162081472 is an apocalyptic number.

104162081472 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 104162081472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152607279240).

104162081472 is an abundant number, since it is smaller than the sum of its proper divisors (201052477008).

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

104162081472 is a wasteful number, since it uses less digits than its factorization.

104162081472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16151 (or 16138 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 104162081472 in words is "one hundred four billion, one hundred sixty-two million, eighty-one thousand, four hundred seventy-two".