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5664274160 = 2451135091231
BaseRepresentation
bin1010100011001110…
…11111011011110000
3112121202022221101212
411101213133123300
543100023233120
62334021015252
7260236351556
oct52147373360
915552287355
105664274160
112447376016
121120b54528
136c366ca1c
143ba3b9bd6
1523241d6c5
hex1519df6f0

5664274160 has 80 divisors (see below), whose sum is σ = 13322897280. Its totient is φ = 2239426560.

The previous prime is 5664274157. The next prime is 5664274207. The reversal of 5664274160 is 614724665.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4600745 + ... + 4601975.

It is an arithmetic number, because the mean of its divisors is an integer number (166536216).

Almost surely, 25664274160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5664274160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6661448640).

5664274160 is an abundant number, since it is smaller than the sum of its proper divisors (7658623120).

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

5664274160 is a wasteful number, since it uses less digits than its factorization.

5664274160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The square root of 5664274160 is about 75261.3722968164. The cubic root of 5664274160 is about 1782.5761377005.

The spelling of 5664274160 in words is "five billion, six hundred sixty-four million, two hundred seventy-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 509 565 904 1018 1130 1231 1808 2036 2260 2462 2545 4072 4520 4924 5090 6155 8144 9040 9848 10180 12310 19696 20360 24620 40720 49240 57517 98480 115034 139103 230068 278206 287585 460136 556412 575170 626579 695515 920272 1112824 1150340 1253158 1391030 2225648 2300680 2506316 2782060 3132895 4601360 5012632 5564120 6265790 10025264 11128240 12531580 25063160 50126320 70803427 141606854 283213708 354017135 566427416 708034270 1132854832 1416068540 2832137080 5664274160