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51281107086 = 231167110910457
BaseRepresentation
bin101111110000100101…
…111001100010001110
311220100212110011011110
4233300211321202032
51320010430411321
635320324032450
73463536134556
oct576045714216
9156325404143
1051281107086
111a825936840
129b31b32726
134ab32c1461
1426a6934166
1515020a2176
hexbf097988e

51281107086 has 64 divisors (see below), whose sum is σ = 113669256960. Its totient is φ = 15292527360.

The previous prime is 51281107067. The next prime is 51281107177. The reversal of 51281107086 is 68070118215.

It is a super-2 number, since 2×512811070862 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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, 4898770 + ... + 4909226.

It is an arithmetic number, because the mean of its divisors is an integer number (1776082140).

Almost surely, 251281107086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51281107086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56834628480).

51281107086 is an abundant number, since it is smaller than the sum of its proper divisors (62388149874).

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

51281107086 is a wasteful number, since it uses less digits than its factorization.

51281107086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11649.

The product of its (nonzero) digits is 26880, while the sum is 39.

The spelling of 51281107086 in words is "fifty-one billion, two hundred eighty-one million, one hundred seven thousand, eighty-six".

Divisors: 1 2 3 6 11 22 33 66 67 134 201 402 737 1109 1474 2211 2218 3327 4422 6654 10457 12199 20914 24398 31371 36597 62742 73194 74303 115027 148606 222909 230054 345081 445818 690162 700619 817333 1401238 1634666 2101857 2451999 4203714 4903998 7706809 11596813 15413618 23120427 23193626 34790439 46240854 69580878 127564943 255129886 382694829 765389658 776986471 1553972942 2330959413 4661918826 8546851181 17093702362 25640553543 51281107086