Search a number
-
+
64640314363635 = 32517312725714289
BaseRepresentation
bin11101011001010001111101…
…11110011100111011110011
322110212112221122112010201200
432230220332332130323303
531433031330434114020
6345251203411302243
716421052151302453
oct1654507676347363
9273775848463650
1064640314363635
111966189231a36a
1272bb8865aa983
132a0b72b54355a
1411d6872159d63
15771699cac590
hex3aca3ef9cef3

64640314363635 has 48 divisors (see below), whose sum is σ = 122460891621120. Its totient is φ = 31400228597760.

The previous prime is 64640314363633. The next prime is 64640314363679. The reversal of 64640314363635 is 53636341304646.

64640314363635 is a `hidden beast` number, since 6 + 4 + 6 + 403 + 143 + 63 + 6 + 35 = 666.

It is not a de Polignac number, because 64640314363635 - 21 = 64640314363633 is a prime.

It is a super-3 number, since 3×646403143636353 (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (64640314363631) 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, 1362833430 + ... + 1362880859.

It is an arithmetic number, because the mean of its divisors is an integer number (2551268575440).

Almost surely, 264640314363635 is an apocalyptic number.

64640314363635 is a deficient number, since it is larger than the sum of its proper divisors (57820577257485).

64640314363635 is a wasteful number, since it uses less digits than its factorization.

64640314363635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725714348 (or 2725714345 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 54.

The spelling of 64640314363635 in words is "sixty-four trillion, six hundred forty billion, three hundred fourteen million, three hundred sixty-three thousand, six hundred thirty-five".

Divisors: 1 3 5 9 15 17 31 45 51 85 93 153 155 255 279 465 527 765 1395 1581 2635 4743 7905 23715 2725714289 8177142867 13628571445 24531428601 40885714335 46337142913 84497142959 122657143005 139011428739 231685714565 253491428877 417034286217 422485714795 695057143695 760474286631 1267457144385 1436451430303 2085171431085 3802371433155 4309354290909 7182257151515 12928062872727 21546771454545 64640314363635