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108280058040 = 23345711716113
BaseRepresentation
bin110010011010111111…
…1101001000010111000
3101100111020000212120000
41210311333221002320
53233224143324130
6121424305233000
710552165210260
oct1446577510270
9340436025500
10108280058040
1141a152a7280
1218b9a932760
13a29808a77b
1453529ca7a0
152c3b105260
hex1935fe90b8

108280058040 has 640 divisors, whose sum is σ = 460211051520. Its totient is φ = 22179225600.

The previous prime is 108280058011. The next prime is 108280058057. The reversal of 108280058040 is 40850082801.

108280058040 is a `hidden beast` number, since 10 + 8 + 28 + 0 + 0 + 580 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 108280057986 and 108280058004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17710024 + ... + 17716136.

It is an arithmetic number, because the mean of its divisors is an integer number (719079768).

Almost surely, 2108280058040 is an apocalyptic number.

108280058040 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 108280058040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230105525760).

108280058040 is an abundant number, since it is smaller than the sum of its proper divisors (351930993480).

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

108280058040 is a wasteful number, since it uses less digits than its factorization.

108280058040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6225 (or 6212 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 108280058040 in words is "one hundred eight billion, two hundred eighty million, fifty-eight thousand, forty".