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51107012096 = 29759241691
BaseRepresentation
bin101111100110001101…
…110001111000000000
311212220201212012201212
4233212031301320000
51314131343341341
635251144345252
73456323302160
oct574615617000
9155821765655
1051107012096
111a746637688
129aa3775228
134a8620727a
14268b7765a0
1514e1b635eb
hexbe6371e00

51107012096 has 80 divisors (see below), whose sum is σ = 118680439680. Its totient is φ = 21531678720.

The previous prime is 51107012081. The next prime is 51107012101. The reversal of 51107012096 is 69021070115.

It is a super-2 number, since 2×511070120962 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 90611 + ... + 332301.

It is an arithmetic number, because the mean of its divisors is an integer number (1483505496).

Almost surely, 251107012096 is an apocalyptic number.

51107012096 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 51107012096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59340219840).

51107012096 is an abundant number, since it is smaller than the sum of its proper divisors (67573427584).

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

51107012096 is an equidigital number, since it uses as much as digits as its factorization.

51107012096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241775 (or 241759 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 32.

The spelling of 51107012096 in words is "fifty-one billion, one hundred seven million, twelve thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 128 224 236 256 413 448 472 512 826 896 944 1652 1792 1888 3304 3584 3776 6608 7552 13216 15104 26432 30208 52864 105728 211456 241691 483382 966764 1691837 1933528 3383674 3867056 6767348 7734112 13534696 14259769 15468224 27069392 28519538 30936448 54138784 57039076 61872896 99818383 108277568 114078152 123745792 199636766 216555136 228156304 399273532 433110272 456312608 798547064 866220544 912625216 1597094128 1825250432 3194188256 3650500864 6388376512 7301001728 12776753024 25553506048 51107012096