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107189535936 = 2637833312903
BaseRepresentation
bin110001111010011111…
…1101000010011000000
3101020200020000121110110
41203310333220103000
53224011010122221
6121124151431320
710513154010450
oct1436477502300
9336606017413
10107189535936
114150577593a
1218935685540
13a153177b12
14528bc37d60
152bc54e2776
hex18f4fe84c0

107189535936 has 224 divisors, whose sum is σ = 329130160128. Its totient is φ = 30154798080.

The previous prime is 107189535931. The next prime is 107189535941. The reversal of 107189535936 is 639535981701.

It is an interprime number because it is at equal distance from previous prime (107189535931) and next prime (107189535941).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1071895359362 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107189535931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36922261 + ... + 36925163.

It is an arithmetic number, because the mean of its divisors is an integer number (1469331072).

Almost surely, 2107189535936 is an apocalyptic number.

107189535936 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 107189535936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164565080064).

107189535936 is an abundant number, since it is smaller than the sum of its proper divisors (221940624192).

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

107189535936 is a wasteful number, since it uses less digits than its factorization.

107189535936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 57.

The spelling of 107189535936 in words is "one hundred seven billion, one hundred eighty-nine million, five hundred thirty-five thousand, nine hundred thirty-six".