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51327811840 = 28553756601
BaseRepresentation
bin101111110011011000…
…000100000100000000
311220111010100000001011
4233303120010010000
51320104404434330
635325113050304
73464644126204
oct576330040400
9156433300034
1051327811840
111a84a236808
129b456b6994
134abcb949c6
1426acc10b04
15150622a82a
hexbf3604100

51327811840 has 72 divisors (see below), whose sum is σ = 125266053528. Its totient is φ = 20143718400.

The previous prime is 51327811789. The next prime is 51327811861. The reversal of 51327811840 is 4811872315.

It can be written as a sum of positive squares in 4 ways, for example, as 17348050944 + 33979760896 = 131712^2 + 184336^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 51327811793 and 51327811802.

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 7 ways as a sum of consecutive naturals, for example, 310461 + ... + 446140.

It is an arithmetic number, because the mean of its divisors is an integer number (1739806299).

Almost surely, 251327811840 is an apocalyptic number.

It is an amenable number.

51327811840 is an abundant number, since it is smaller than the sum of its proper divisors (73938241688).

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

51327811840 is an equidigital number, since it uses as much as digits as its factorization.

51327811840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756675 (or 756661 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The spelling of 51327811840 in words is "fifty-one billion, three hundred twenty-seven million, eight hundred eleven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 320 424 530 640 848 1060 1280 1696 2120 3392 4240 6784 8480 13568 16960 33920 67840 756601 1513202 3026404 3783005 6052808 7566010 12105616 15132020 24211232 30264040 40099853 48422464 60528080 80199706 96844928 121056160 160399412 193689856 200499265 242112320 320798824 400998530 484224640 641597648 801997060 968449280 1283195296 1603994120 2566390592 3207988240 5132781184 6415976480 10265562368 12831952960 25663905920 51327811840