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5712760704 = 273719111857
BaseRepresentation
bin1010101001000000…
…11100111110000000
3112202010120022102210
411110200130332000
543144431320304
62342512142120
7261365444010
oct52440347600
915663508383
105712760704
112471782742
121135237940
137007182a1
143c29dbc40
152367e9c89
hex15481cf80

5712760704 has 128 divisors (see below), whose sum is σ = 18255225600. Its totient is φ = 1546297344.

The previous prime is 5712760681. The next prime is 5712760717. The reversal of 5712760704 is 4070672175.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×57127607042 = 65271269722333151232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4857 + ... + 107000.

It is an arithmetic number, because the mean of its divisors is an integer number (142618950).

Almost surely, 25712760704 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 5712760704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9127612800).

5712760704 is an abundant number, since it is smaller than the sum of its proper divisors (12542464896).

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

5712760704 is a wasteful number, since it uses less digits than its factorization.

5712760704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111900 (or 111888 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The square root of 5712760704 is about 75582.8069338524. The cubic root of 5712760704 is about 1787.6480146329.

The spelling of 5712760704 in words is "five billion, seven hundred twelve million, seven hundred sixty thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 266 304 336 384 399 448 456 532 608 672 798 896 912 1064 1216 1344 1596 1824 2128 2432 2688 3192 3648 4256 6384 7296 8512 12768 17024 25536 51072 111857 223714 335571 447428 671142 782999 894856 1342284 1565998 1789712 2125283 2348997 2684568 3131996 3579424 4250566 4697994 5369136 6263992 6375849 7158848 8501132 9395988 10738272 12527984 12751698 14317696 14876981 17002264 18791976 21476544 25055968 25503396 29753962 34004528 37583952 42953088 44630943 50111936 51006792 59507924 68009056 75167904 89261886 100223872 102013584 119015848 136018112 150335808 178523772 204027168 238031696 272036224 300671616 357047544 408054336 476063392 714095088 816108672 952126784 1428190176 1904253568 2856380352 5712760704