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5168601856 = 281113114011
BaseRepresentation
bin1001101000001001…
…01001101100000000
3111100012122011211101
410310010221230000
541041130224411
62212513024144
7242040251035
oct46404515400
914305564741
105168601856
1122125a5090
121002b55054
13644a716c2
1437062d38c
15203b5c8c1
hex134129b00

5168601856 has 72 divisors (see below), whose sum is σ = 11341649088. Its totient is φ = 2331264000.

The previous prime is 5168601833. The next prime is 5168601869. The reversal of 5168601856 is 6581068615.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 361891 + ... + 375901.

It is an arithmetic number, because the mean of its divisors is an integer number (157522904).

Almost surely, 25168601856 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 5168601856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5670824544).

5168601856 is an abundant number, since it is smaller than the sum of its proper divisors (6173047232).

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

5168601856 is a wasteful number, since it uses less digits than its factorization.

5168601856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14169 (or 14155 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 46.

The square root of 5168601856 is about 71892.9889210346. The cubic root of 5168601856 is about 1728.9842072711.

The spelling of 5168601856 in words is "five billion, one hundred sixty-eight million, six hundred one thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 131 176 256 262 352 524 704 1048 1408 1441 2096 2816 2882 4192 5764 8384 11528 14011 16768 23056 28022 33536 46112 56044 92224 112088 154121 184448 224176 308242 368896 448352 616484 896704 1232968 1793408 1835441 2465936 3586816 3670882 4931872 7341764 9863744 14683528 19727488 20189851 29367056 39454976 40379702 58734112 80759404 117468224 161518808 234936448 323037616 469872896 646075232 1292150464 2584300928 5168601856