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108934814520 = 233357289101229
BaseRepresentation
bin110010101110100000…
…1010101101100111000
3101102011212001221121000
41211131001111230320
53241044303031040
6122013255045000
710604335434300
oct1453501255470
9342155057530
10108934814520
1142220954534
1219142070760
13a37091873c
1453b5948600
152c7883c130
hex195d055b38

108934814520 has 768 divisors, whose sum is σ = 433259280000. Its totient is φ = 24269414400.

The previous prime is 108934814519. The next prime is 108934814581. The reversal of 108934814520 is 25418439801.

108934814520 is a `hidden beast` number, since 1 + 0 + 89 + 3 + 48 + 1 + 4 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 475697766 + ... + 475697994.

Almost surely, 2108934814520 is an apocalyptic number.

108934814520 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 108934814520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216629640000).

108934814520 is an abundant number, since it is smaller than the sum of its proper divisors (324324465480).

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

108934814520 is a wasteful number, since it uses less digits than its factorization.

108934814520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 108934814520 in words is "one hundred eight billion, nine hundred thirty-four million, eight hundred fourteen thousand, five hundred twenty".