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107922977064 = 23327313013359
BaseRepresentation
bin110010010000010110…
…1011111000100101000
3101022120100010021112200
41210200231133010220
53232011240231224
6121325031540200
710540301112000
oct1444055370450
9338510107480
10107922977064
1141851786031
1218abb22a660
13a23c0c5556
14531b3d9000
152c19abd5c9
hex1920b5f128

107922977064 has 192 divisors, whose sum is σ = 341228160000. Its totient is φ = 30802262400.

The previous prime is 107922977033. The next prime is 107922977081. The reversal of 107922977064 is 460779229701.

It is a self number, because there is not a number n which added to its sum of digits gives 107922977064.

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, 32127817 + ... + 32131175.

It is an arithmetic number, because the mean of its divisors is an integer number (1777230000).

Almost surely, 2107922977064 is an apocalyptic number.

107922977064 is a gapful number since it is divisible by the number (14) 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 107922977064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170614080000).

107922977064 is an abundant number, since it is smaller than the sum of its proper divisors (233305182936).

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

107922977064 is a wasteful number, since it uses less digits than its factorization.

107922977064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4693 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 107922977064 in words is "one hundred seven billion, nine hundred twenty-two million, nine hundred seventy-seven thousand, sixty-four".