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5757722256 = 24311133127059
BaseRepresentation
bin1010101110010111…
…11101111010010000
3112212021011121002110
411113023331322100
543242434103011
62351155545320
7262452555156
oct52713757220
915767147073
105757722256
1124950a1a50
1211482bb240
13709b2b260
143c89833d6
1523a72bba6
hex1572fde90

5757722256 has 160 divisors (see below), whose sum is σ = 18038845440. Its totient is φ = 1558540800.

The previous prime is 5757722249. The next prime is 5757722279. The reversal of 5757722256 is 6522277575.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 199255 + ... + 226313.

It is an arithmetic number, because the mean of its divisors is an integer number (112742784).

Almost surely, 25757722256 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 5757722256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9019422720).

5757722256 is an abundant number, since it is smaller than the sum of its proper divisors (12281123184).

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

5757722256 is a wasteful number, since it uses less digits than its factorization.

5757722256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27125 (or 27119 counting only the distinct ones).

The product of its digits is 2058000, while the sum is 48.

The square root of 5757722256 is about 75879.6564040718. The cubic root of 5757722256 is about 1792.3255829155.

The spelling of 5757722256 in words is "five billion, seven hundred fifty-seven million, seven hundred twenty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 31 33 39 44 48 52 62 66 78 88 93 104 124 132 143 156 176 186 208 248 264 286 312 341 372 403 429 496 528 572 624 682 744 806 858 1023 1144 1209 1364 1488 1612 1716 2046 2288 2418 2728 3224 3432 4092 4433 4836 5456 6448 6864 8184 8866 9672 13299 16368 17732 19344 26598 27059 35464 53196 54118 70928 81177 106392 108236 162354 212784 216472 297649 324708 351767 432944 595298 649416 703534 838829 892947 1055301 1190596 1298832 1407068 1677658 1785894 2110602 2381192 2516487 2814136 3355316 3571788 3869437 4221204 4762384 5032974 5628272 6710632 7143576 7738874 8442408 9227119 10065948 10904777 11608311 13421264 14287152 15477748 16884816 18454238 20131896 21809554 23216622 27681357 30955496 32714331 36908476 40263792 43619108 46433244 55362714 61910992 65428662 73816952 87238216 92866488 110725428 119952547 130857324 147633904 174476432 185732976 221450856 239905094 261714648 359857641 442901712 479810188 523429296 719715282 959620376 1439430564 1919240752 2878861128 5757722256