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5107370112 = 27351317743
BaseRepresentation
bin1001100000110110…
…00100100010000000
3111011221102021200000
410300123010202000
540424441320422
62202444400000
7240364633605
oct46033044200
914157367600
105107370112
112190a82839
12ba6546000
13635182bc0
143664506ac
151ed5b4cac
hex1306c4880

5107370112 has 384 divisors, whose sum is σ = 17402636160. Its totient is φ = 1477066752.

The previous prime is 5107370111. The next prime is 5107370141. The reversal of 5107370112 is 2110737015.

It is a happy number.

5107370112 is a `hidden beast` number, since 510 + 7 + 37 + 0 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5107370111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6873613 + ... + 6874355.

It is an arithmetic number, because the mean of its divisors is an integer number (45319365).

Almost surely, 25107370112 is an apocalyptic number.

5107370112 is a gapful number since it is divisible by the number (52) 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 5107370112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8701318080).

5107370112 is an abundant number, since it is smaller than the sum of its proper divisors (12295266048).

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

5107370112 is a wasteful number, since it uses less digits than its factorization.

5107370112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 5107370112 is about 71465.8667616926. The cubic root of 5107370112 is about 1722.1293836182.

The spelling of 5107370112 in words is "five billion, one hundred seven million, three hundred seventy thousand, one hundred twelve".