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5664310272 = 21032614617
BaseRepresentation
bin1010100011001111…
…01000010000000000
3112121202101202221100
411101213220100000
543100030412042
62334021454400
7260236562055
oct52147502000
915552352840
105664310272
1124473a0165
121120b71400
136c36832aa
143ba3c902c
1523242924c
hex1519e8400

5664310272 has 66 divisors (see below), whose sum is σ = 16355599598. Its totient is φ = 1888100352.

The previous prime is 5664310261. The next prime is 5664310273. The reversal of 5664310272 is 2720134665.

5664310272 is a `hidden beast` number, since 5 + 6 + 643 + 1 + 0 + 2 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5060330496 + 603979776 = 71136^2 + 24576^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5664310273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 298093 + ... + 316524.

Almost surely, 25664310272 is an apocalyptic number.

It is an amenable number.

5664310272 is an abundant number, since it is smaller than the sum of its proper divisors (10691289326).

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

5664310272 is a wasteful number, since it uses less digits than its factorization.

5664310272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614643 (or 614622 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5664310272 is about 75261.6122070209. The cubic root of 5664310272 is about 1782.5799259030.

The spelling of 5664310272 in words is "five billion, six hundred sixty-four million, three hundred ten thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 614617 1229234 1843851 2458468 3687702 4916936 5531553 7375404 9833872 11063106 14750808 19667744 22126212 29501616 39335488 44252424 59003232 78670976 88504848 118006464 157341952 177009696 236012928 314683904 354019392 472025856 629367808 708038784 944051712 1416077568 1888103424 2832155136 5664310272