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64264131 = 3317140009
BaseRepresentation
bin1111010100100…
…1011111000011
311110220221211000
43311021133003
5112422423011
610213223043
71410143661
oct365113703
9143827730
1064264131
1133303658
1219631a83
1310410b19
14876bc31
155996356
hex3d497c3

64264131 has 16 divisors (see below), whose sum is σ = 100807200. Its totient is φ = 40322304.

The previous prime is 64264121. The next prime is 64264133. The reversal of 64264131 is 13146246.

64264131 is a `hidden beast` number, since 642 + 6 + 4 + 13 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-64264131 is a prime.

It is a super-2 number, since 2×642641312 = 8259757066370322, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 64264095 and 64264104.

It is not an unprimeable number, because it can be changed into a prime (64264133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69546 + ... + 70463.

It is an arithmetic number, because the mean of its divisors is an integer number (6300450).

Almost surely, 264264131 is an apocalyptic number.

64264131 is a deficient number, since it is larger than the sum of its proper divisors (36543069).

64264131 is a wasteful number, since it uses less digits than its factorization.

64264131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140035 (or 140029 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 64264131 is about 8016.4911900407. The cubic root of 64264131 is about 400.5495176469.

The spelling of 64264131 in words is "sixty-four million, two hundred sixty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 17 27 51 153 459 140009 420027 1260081 2380153 3780243 7140459 21421377 64264131