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64136844 = 22325473257
BaseRepresentation
bin1111010010101…
…0011010001100
311110200111012200
43310222122030
5112404334334
610210401500
71406103612
oct364523214
9143614180
1064136844
1133226a62
1219590290
1310397bc5
1487376b2
15596d799
hex3d2a68c

64136844 has 36 divisors (see below), whose sum is σ = 162469944. Its totient is φ = 21333312.

The previous prime is 64136843. The next prime is 64136867. The reversal of 64136844 is 44863146.

64136844 is a `hidden beast` number, since 641 + 3 + 6 + 8 + 4 + 4 = 666.

64136844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×641368442 = 8227069516560672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 64136799 and 64136808.

It is not an unprimeable number, because it can be changed into a prime (64136843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18064 + ... + 21320.

It is an arithmetic number, because the mean of its divisors is an integer number (4513054).

Almost surely, 264136844 is an apocalyptic number.

It is an amenable number.

64136844 is an abundant number, since it is smaller than the sum of its proper divisors (98333100).

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

64136844 is a wasteful number, since it uses less digits than its factorization.

64136844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814 (or 3809 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 64136844 is about 8008.5481830354. The cubic root of 64136844 is about 400.2848887145.

It can be divided in two parts, 64136 and 844, that added together give a triangular number (64980 = T360).

The spelling of 64136844 in words is "sixty-four million, one hundred thirty-six thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 547 1094 1641 2188 3257 3282 4923 6514 6564 9771 9846 13028 19542 19692 29313 39084 58626 117252 1781579 3563158 5344737 7126316 10689474 16034211 21378948 32068422 64136844