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2655631140 = 22351913916759
BaseRepresentation
bin1001111001001001…
…1011011100100100
320212002001001001220
42132102123130210
520414320144030
61115303220340
7122544330561
oct23622333444
96762031056
102655631140
111143041a88
126214476b0
13334250496
141b29a3868
1510821da10
hex9e49b724

2655631140 has 96 divisors (see below), whose sum is σ = 7883904000. Its totient is φ = 666029952.

The previous prime is 2655631127. The next prime is 2655631189. The reversal of 2655631140 is 411365562.

2655631140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150081 + ... + 166839.

It is an arithmetic number, because the mean of its divisors is an integer number (82124000).

Almost surely, 22655631140 is an apocalyptic number.

2655631140 is a gapful number since it is divisible by the number (20) 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 2655631140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941952000).

2655631140 is an abundant number, since it is smaller than the sum of its proper divisors (5228272860).

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

2655631140 is a wasteful number, since it uses less digits than its factorization.

2655631140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16929 (or 16927 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 2655631140 is about 51532.8161466070. The cubic root of 2655631140 is about 1384.8070021749.

The spelling of 2655631140 in words is "two billion, six hundred fifty-five million, six hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 139 190 228 278 285 380 417 556 570 695 834 1140 1390 1668 2085 2641 2780 4170 5282 7923 8340 10564 13205 15846 16759 26410 31692 33518 39615 50277 52820 67036 79230 83795 100554 158460 167590 201108 251385 318421 335180 502770 636842 955263 1005540 1273684 1592105 1910526 2329501 3184210 3821052 4659002 4776315 6368420 6988503 9318004 9552630 11647505 13977006 19105260 23295010 27954012 34942515 44260519 46590020 69885030 88521038 132781557 139770060 177042076 221302595 265563114 442605190 531126228 663907785 885210380 1327815570 2655631140