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108458913991680 = 21032572232088473
BaseRepresentation
bin11000101010010010001111…
…000010101000110000000000
3112020000120102012100011112200
4120222102033002220300000
5103203442323440213210
61022401200502153200
731562616665550300
oct3052221702506000
9466016365304480
10108458913991680
113161619248072a
12101b8092a22800
134869829b13335
141cad621bab600
15c813ea3610c0
hex62a48f0a8c00

108458913991680 has 792 divisors, whose sum is σ = 456170940287712. Its totient is φ = 23712744996864.

The previous prime is 108458913991679. The next prime is 108458913991693. The reversal of 108458913991680 is 86199319854801.

108458913991680 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 589 + 1 + 39 + 9 + 1 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×1084589139916802 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 108458913991599 and 108458913991608.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50887924 + ... + 52976396.

Almost surely, 2108458913991680 is an apocalyptic number.

108458913991680 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 108458913991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228085470143856).

108458913991680 is an abundant number, since it is smaller than the sum of its proper divisors (347712026296032).

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

108458913991680 is a wasteful number, since it uses less digits than its factorization.

108458913991680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088541 (or 2088513 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 72.

The spelling of 108458913991680 in words is "one hundred eight trillion, four hundred fifty-eight billion, nine hundred thirteen million, nine hundred ninety-one thousand, six hundred eighty".