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107099114472 = 233277110129633
BaseRepresentation
bin110001110111110011…
…0101100101111101000
3101020102220212201112100
41203233212230233220
53223314333130342
6121111201413400
710511005311150
oct1435746545750
9336386781470
10107099114472
1141469726959
121890b33a260
13a13a5090ac
14527dc1b760
152bbc5d0e4c
hex18ef9acbe8

107099114472 has 192 divisors, whose sum is σ = 339506069760. Its totient is φ = 29869056000.

The previous prime is 107099114467. The next prime is 107099114489. The reversal of 107099114472 is 274411990701.

107099114472 is a `hidden beast` number, since 10 + 70 + 9 + 91 + 14 + 472 = 666.

107099114472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1070991144722 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 3599368 + ... + 3629000.

It is an arithmetic number, because the mean of its divisors is an integer number (1768260780).

Almost surely, 2107099114472 is an apocalyptic number.

107099114472 is a gapful number since it is divisible by the number (12) 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 107099114472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169753034880).

107099114472 is an abundant number, since it is smaller than the sum of its proper divisors (232406955288).

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

107099114472 is a wasteful number, since it uses less digits than its factorization.

107099114472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29824 (or 29817 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 107099114472 in words is "one hundred seven billion, ninety-nine million, one hundred fourteen thousand, four hundred seventy-two".