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107479131600 = 243521922321139
BaseRepresentation
bin110010000011001000…
…0010110010111010000
3101021102101221121000210
41210012100112113100
53230104124202400
6121213014444120
710523301354621
oct1440620262720
9337371847023
10107479131600
11416441933a5
12189b6663640
13a19b171cb9
1452b849da48
152be0b48950
hex19064165d0

107479131600 has 240 divisors, whose sum is σ = 364054476800. Its totient is φ = 27029583360.

The previous prime is 107479131563. The next prime is 107479131601. The reversal of 107479131600 is 6131974701.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107479131601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5073831 + ... + 5094969.

Almost surely, 2107479131600 is an apocalyptic number.

107479131600 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 107479131600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182027238400).

107479131600 is an abundant number, since it is smaller than the sum of its proper divisors (256575345200).

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

107479131600 is a wasteful number, since it uses less digits than its factorization.

107479131600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21402 (or 21391 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The spelling of 107479131600 in words is "one hundred seven billion, four hundred seventy-nine million, one hundred thirty-one thousand, six hundred".