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5715736272 = 2433107123653
BaseRepresentation
bin1010101001010111…
…10011011011010000
3112202100011111011000
411110223303123100
543201212030042
62343100022000
7261432646101
oct52453633320
915670144130
105715736272
112473425294
121136231900
1370121a78c
143c31743a8
15236bd674c
hex154af36d0

5715736272 has 80 divisors (see below), whose sum is σ = 16559743680. Its totient is φ = 1887424128.

The previous prime is 5715736267. The next prime is 5715736291. The reversal of 5715736272 is 2726375175.

5715736272 is a `hidden beast` number, since 5 + 7 + 1 + 573 + 6 + 2 + 72 = 666.

It is a super-2 number, since 2×57157362722 = 65339282262112915968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15603 + ... + 108050.

It is an arithmetic number, because the mean of its divisors is an integer number (206996796).

Almost surely, 25715736272 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 5715736272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8279871840).

5715736272 is an abundant number, since it is smaller than the sum of its proper divisors (10844007408).

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

5715736272 is a wasteful number, since it uses less digits than its factorization.

5715736272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123777 (or 123765 counting only the distinct ones).

The product of its digits is 617400, while the sum is 45.

The square root of 5715736272 is about 75602.4885304710. The cubic root of 5715736272 is about 1787.9583342392.

The spelling of 5715736272 in words is "five billion, seven hundred fifteen million, seven hundred thirty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 321 428 432 642 856 963 1284 1712 1926 2568 2889 3852 5136 5778 7704 11556 15408 23112 46224 123653 247306 370959 494612 741918 989224 1112877 1483836 1978448 2225754 2967672 3338631 4451508 5935344 6677262 8903016 13230871 13354524 17806032 26461742 26709048 39692613 52923484 53418096 79385226 105846968 119077839 158770452 211693936 238155678 317540904 357233517 476311356 635081808 714467034 952622712 1428934068 1905245424 2857868136 5715736272