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107746750720 = 2857217139727
BaseRepresentation
bin110010001011000110…
…1001111000100000000
3101022010001112001110001
41210112031033010000
53231131132010340
6121255334445344
710533031161400
oct1442615170400
9338101461401
10107746750720
1141771260624
1218a70203854
13a2117431cb
145301c44800
152c093ad29a
hex191634f100

107746750720 has 432 divisors, whose sum is σ = 320611374720. Its totient is φ = 34471084032.

The previous prime is 107746750687. The next prime is 107746750729. The reversal of 107746750720 is 27057647701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107746750729) 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, 148206997 + ... + 148207723.

It is an arithmetic number, because the mean of its divisors is an integer number (742155960).

Almost surely, 2107746750720 is an apocalyptic number.

107746750720 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 107746750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160305687360).

107746750720 is an abundant number, since it is smaller than the sum of its proper divisors (212864624000).

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

107746750720 is a wasteful number, since it uses less digits than its factorization.

107746750720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 46.

The spelling of 107746750720 in words is "one hundred seven billion, seven hundred forty-six million, seven hundred fifty thousand, seven hundred twenty".