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107235046480 = 2451737748197
BaseRepresentation
bin110001111011110110…
…1001111010001010000
3101020210101122210012011
41203313231033101100
53224104132441410
6121132455112304
710514245566322
oct1436755172120
9336711583164
10107235046480
114152942a661
1218948972694
13a15c720933
145293cc3612
152bc94d218a
hex18f7b4f450

107235046480 has 40 divisors (see below), whose sum is σ = 250762680072. Its totient is φ = 42646070784.

The previous prime is 107235046469. The next prime is 107235046549. The reversal of 107235046480 is 84640532701.

It can be written as a sum of positive squares in 4 ways, for example, as 23072394816 + 84162651664 = 151896^2 + 290108^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1072350464802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3860259 + ... + 3887938.

Almost surely, 2107235046480 is an apocalyptic number.

107235046480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107235046480 is an abundant number, since it is smaller than the sum of its proper divisors (143527633592).

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

107235046480 is a wasteful number, since it uses less digits than its factorization.

107235046480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7748383 (or 7748377 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 107235046480 in words is "one hundred seven billion, two hundred thirty-five million, forty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 6920 13840 7748197 15496394 30992788 38740985 61985576 77481970 123971152 154963940 309927880 619855760 1340438081 2680876162 5361752324 6702190405 10723504648 13404380810 21447009296 26808761620 53617523240 107235046480