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12574745640 = 23335175771187
BaseRepresentation
bin10111011011000001…
…10110010000101000
31012110100121021011000
423231200312100220
5201223113330030
65435440235000
7623420401002
oct135540662050
935410537130
1012574745640
115373130576
12252b30ba60
13125525a4c2
148740ad372
154d8e50860
hex2ed836428

12574745640 has 256 divisors, whose sum is σ = 44495827200. Its totient is φ = 3147890688.

The previous prime is 12574745629. The next prime is 12574745647. The reversal of 12574745640 is 4654747521.

12574745640 is a `hidden beast` number, since 1 + 2 + 574 + 74 + 5 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12574745647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10593127 + ... + 10594313.

It is an arithmetic number, because the mean of its divisors is an integer number (173811825).

Almost surely, 212574745640 is an apocalyptic number.

12574745640 is a gapful number since it is divisible by the number (10) 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 12574745640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22247913600).

12574745640 is an abundant number, since it is smaller than the sum of its proper divisors (31921081560).

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

12574745640 is a wasteful number, since it uses less digits than its factorization.

12574745640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 12574745640 in words is "twelve billion, five hundred seventy-four million, seven hundred forty-five thousand, six hundred forty".