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5335445664 = 253218525853
BaseRepresentation
bin1001111100000010…
…00111000010100000
3111202211120201111200
410332001013002200
541411333230124
62241233041200
7246134353113
oct47601070240
914684521450
105335445664
1122987a132a
12104a9b6200
136704ba253
1438886057a
15213617bc9
hex13e0470a0

5335445664 has 36 divisors (see below), whose sum is σ = 15172674426. Its totient is φ = 1778481792.

The previous prime is 5335445663. The next prime is 5335445693. The reversal of 5335445664 is 4665445335.

5335445664 is a `hidden beast` number, since 5 + 33 + 54 + 4 + 566 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3685461264 + 1649984400 = 60708^2 + 40620^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5335445663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9262639 + ... + 9263214.

Almost surely, 25335445664 is an apocalyptic number.

It is an amenable number.

5335445664 is an abundant number, since it is smaller than the sum of its proper divisors (9837228762).

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

5335445664 is a wasteful number, since it uses less digits than its factorization.

5335445664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18525869 (or 18525858 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 45.

The square root of 5335445664 is about 73044.1350417677. The cubic root of 5335445664 is about 1747.3915603779.

The spelling of 5335445664 in words is "five billion, three hundred thirty-five million, four hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 18525853 37051706 55577559 74103412 111155118 148206824 166732677 222310236 296413648 333465354 444620472 592827296 666930708 889240944 1333861416 1778481888 2667722832 5335445664