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107299730736 = 243211592834057
BaseRepresentation
bin110001111101110001…
…1111111010100110000
3101020221220101002022100
41203323203333110300
53224222212340421
6121143125340400
710515662443212
oct1437343772460
9336856332270
10107299730736
114156199a920
1218966567700
13a16cc4aa43
14529c7205b2
152bd000cc26
hex18fb8ff530

107299730736 has 240 divisors, whose sum is σ = 334401275520. Its totient is φ = 31843169280.

The previous prime is 107299730711. The next prime is 107299730767. The reversal of 107299730736 is 637037992701.

It is a happy number.

107299730736 is a `hidden beast` number, since 10 + 7 + 299 + 7 + 307 + 36 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26446020 + ... + 26450076.

It is an arithmetic number, because the mean of its divisors is an integer number (1393338648).

Almost surely, 2107299730736 is an apocalyptic number.

107299730736 is a gapful number since it is divisible by the number (16) 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 107299730736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167200637760).

107299730736 is an abundant number, since it is smaller than the sum of its proper divisors (227101544784).

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

107299730736 is a wasteful number, since it uses less digits than its factorization.

107299730736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4424 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 54.

The spelling of 107299730736 in words is "one hundred seven billion, two hundred ninety-nine million, seven hundred thirty thousand, seven hundred thirty-six".