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5012100585 = 34512375557
BaseRepresentation
bin1001010101011111…
…01001010111101001
3110221022011002110000
410222233221113221
540231044204320
62145202413213
7235130103102
oct45257512751
913838132400
105012100585
112142222398
12b7a661209
1361b5075bb
143579313a9
151e5046c90
hex12abe95e9

5012100585 has 20 divisors (see below), whose sum is σ = 8984655108. Its totient is φ = 2673120096.

The previous prime is 5012100523. The next prime is 5012100589. The reversal of 5012100585 is 5850012105.

5012100585 is a `hidden beast` number, since 501 + 2 + 100 + 58 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3661097049 + 1351003536 = 60507^2 + 36756^2 .

It is not a de Polignac number, because 5012100585 - 26 = 5012100521 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5012100589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6187374 + ... + 6188183.

Almost surely, 25012100585 is an apocalyptic number.

It is an amenable number.

5012100585 is a deficient number, since it is larger than the sum of its proper divisors (3972554523).

5012100585 is a wasteful number, since it uses less digits than its factorization.

5012100585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12375574 (or 12375565 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 5012100585 is about 70796.1904695443. The cubic root of 5012100585 is about 1711.3542826486.

The spelling of 5012100585 in words is "five billion, twelve million, one hundred thousand, five hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 12375557 37126671 61877785 111380013 185633355 334140039 556900065 1002420117 1670700195 5012100585