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107407797336 = 233372233143331
BaseRepresentation
bin110010000001000000…
…0001110110001011000
3101021020102201102211000
41210002000032301120
53224432344003321
6121201545505000
710521444133200
oct1440200166130
9337212642730
10107407797336
11416079a0964
12189967a2160
13a189457088
1452acc11400
152bd9757826
hex190200ec58

107407797336 has 768 divisors, whose sum is σ = 383687884800. Its totient is φ = 27662342400.

The previous prime is 107407797311. The next prime is 107407797383. The reversal of 107407797336 is 633797704701.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 324494691 + ... + 324495021.

It is an arithmetic number, because the mean of its divisors is an integer number (499593600).

Almost surely, 2107407797336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107407797336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191843942400).

107407797336 is an abundant number, since it is smaller than the sum of its proper divisors (276280087464).

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

107407797336 is a wasteful number, since it uses less digits than its factorization.

107407797336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 4667544, while the sum is 54.

The spelling of 107407797336 in words is "one hundred seven billion, four hundred seven million, seven hundred ninety-seven thousand, three hundred thirty-six".