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51001140636 = 22328995316703
BaseRepresentation
bin101111011111111001…
…111010010110011100
311212122100122101101200
4233133321322112130
51313422243000021
635232443235500
73453566354055
oct573771722634
9155570571350
1051001140636
111a6a18a5906
129a74218b90
134a6a2b9134
14267b69772c
1514d76ee126
hexbdfe7a59c

51001140636 has 72 divisors (see below), whose sum is σ = 130512695040. Its totient is φ = 16790721024.

The previous prime is 51001140623. The next prime is 51001140721. The reversal of 51001140636 is 63604110015.

51001140636 is a `hidden beast` number, since 5 + 10 + 0 + 1 + 14 + 0 + 636 = 666.

It is a super-2 number, since 2×510011406362 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3045061 + ... + 3061763.

It is an arithmetic number, because the mean of its divisors is an integer number (1812676320).

Almost surely, 251001140636 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 51001140636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65256347520).

51001140636 is an abundant number, since it is smaller than the sum of its proper divisors (79511554404).

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

51001140636 is a wasteful number, since it uses less digits than its factorization.

51001140636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17755 (or 17750 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 51001140636 in words is "fifty-one billion, one million, one hundred forty thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 953 1068 1602 1906 2859 3204 3812 5718 8577 11436 16703 17154 33406 34308 50109 66812 84817 100218 150327 169634 200436 254451 300654 339268 508902 601308 763353 1017804 1486567 1526706 2973134 3053412 4459701 5946268 8919402 13379103 15917959 17838804 26758206 31835918 47753877 53516412 63671836 95507754 143261631 191015508 286523262 573046524 1416698351 2833396702 4250095053 5666793404 8500190106 12750285159 17000380212 25500570318 51001140636