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5756506704 = 243513113891
BaseRepresentation
bin1010101110001110…
…10101001001010000
3112212011212211200000
411113013111021100
543242131203304
62351113530000
7262436333244
oct52707251120
915764784600
105756506704
112494441763
121147a13900
137097c3bb0
143c8748424
1523a58b939
hex1571d5250

5756506704 has 120 divisors (see below), whose sum is σ = 17992202592. Its totient is φ = 1771217280.

The previous prime is 5756506687. The next prime is 5756506751. The reversal of 5756506704 is 4076056575.

5756506704 is a `hidden beast` number, since 5 + 75 + 6 + 506 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5756506704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6402 + ... + 107489.

Almost surely, 25756506704 is an apocalyptic number.

5756506704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5756506704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8996101296).

5756506704 is an abundant number, since it is smaller than the sum of its proper divisors (12235695888).

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

5756506704 is a wasteful number, since it uses less digits than its factorization.

5756506704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113927 (or 113909 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The square root of 5756506704 is about 75871.6462454849. The cubic root of 5756506704 is about 1792.1994440139.

The spelling of 5756506704 in words is "five billion, seven hundred fifty-six million, five hundred six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 936 972 1053 1296 1404 1872 1944 2106 2808 3159 3888 4212 5616 6318 8424 12636 16848 25272 50544 113891 227782 341673 455564 683346 911128 1025019 1366692 1480583 1822256 2050038 2733384 2961166 3075057 4100076 4441749 5466768 5922332 6150114 8200152 8883498 9225171 11844664 12300228 13325247 16400304 17766996 18450342 23689328 24600456 26650494 27675513 35533992 36900684 39975741 49200912 53300988 55351026 71067984 73801368 79951482 106601976 110702052 119927223 147602736 159902964 213203952 221404104 239854446 319805928 359781669 442808208 479708892 639611856 719563338 959417784 1439126676 1918835568 2878253352 5756506704