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5710212816 = 2437112715701
BaseRepresentation
bin1010101000101101…
…01110111011010000
3112201221202212101120
411110112232323100
543143303302231
62342341402240
7261335002530
oct52426567320
915657685346
105710212816
1124702a2450
121134409380
13700035669
143c25374c0
15236494d96
hex1545aeed0

5710212816 has 160 divisors (see below), whose sum is σ = 18462437376. Its totient is φ = 1477440000.

The previous prime is 5710212811. The next prime is 5710212817. The reversal of 5710212816 is 6182120175.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5710212811) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 998766 + ... + 1004466.

Almost surely, 25710212816 is an apocalyptic number.

5710212816 is a gapful number since it is divisible by the number (56) 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 5710212816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9231218688).

5710212816 is an abundant number, since it is smaller than the sum of its proper divisors (12752224560).

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

5710212816 is a wasteful number, since it uses less digits than its factorization.

5710212816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6001 (or 5995 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 5710212816 is about 75565.9501098213. The cubic root of 5710212816 is about 1787.3822117830.

The spelling of 5710212816 in words is "five billion, seven hundred ten million, two hundred twelve thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 271 308 336 462 528 542 616 813 924 1084 1232 1626 1848 1897 2168 2981 3252 3696 3794 4336 5691 5701 5962 6504 7588 8943 11382 11402 11924 13008 15176 17103 17886 20867 22764 22804 23848 30352 34206 35772 39907 41734 45528 45608 47696 62601 62711 68412 71544 79814 83468 91056 91216 119721 125202 125422 136824 143088 159628 166936 188133 239442 250404 250844 273648 319256 333872 376266 438977 478884 500808 501688 638512 752532 877954 957768 1001616 1003376 1316931 1505064 1544971 1755908 1915536 2633862 3010128 3089942 3511816 4634913 5267724 6179884 7023632 9269826 10535448 10814797 12359768 16994681 18539652 21070896 21629594 24719536 32444391 33989362 37079304 43259188 50984043 64888782 67978724 74158608 86518376 101968086 118962767 129777564 135957448 173036752 203936172 237925534 259555128 271914896 356888301 407872344 475851068 519110256 713776602 815744688 951702136 1427553204 1903404272 2855106408 5710212816