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107341058880 = 263251123179823
BaseRepresentation
bin110001111111000000…
…1101001001101000000
3101021001210010202212100
41203332001221031000
53224313302341010
6121151203230400
710520003642346
oct1437601511500
9337053122770
10107341058880
1141583258310
1218978378400
13a17868ac73
1452a3ddb996
152bd39732c0
hex18fe069340

107341058880 has 672 divisors, whose sum is σ = 423146280960. Its totient is φ = 24721551360.

The previous prime is 107341058873. The next prime is 107341059019. The reversal of 107341058880 is 88850143701.

It is a happy number.

107341058880 is a `hidden beast` number, since 10 + 73 + 410 + 5 + 88 + 80 = 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 95 ways as a sum of consecutive naturals, for example, 130426149 + ... + 130426971.

Almost surely, 2107341058880 is an apocalyptic number.

107341058880 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 107341058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211573140480).

107341058880 is an abundant number, since it is smaller than the sum of its proper divisors (315805222080).

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

107341058880 is a wasteful number, since it uses less digits than its factorization.

107341058880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 107341058880 in words is "one hundred seven billion, three hundred forty-one million, fifty-eight thousand, eight hundred eighty".