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2656136160 = 253251997081
BaseRepresentation
bin1001111001010001…
…0110101111100000
320212002222200211100
42132110112233200
520414432324120
61115322114400
7122551533126
oct23624265740
96762880740
102656136160
111143357457
1262164ba00
13334399302
141b2a95916
151082bd490
hex9e516be0

2656136160 has 144 divisors (see below), whose sum is σ = 9541218960. Its totient is φ = 671016960.

The previous prime is 2656136111. The next prime is 2656136167. The reversal of 2656136160 is 616316562.

2656136160 is a `hidden beast` number, since 2 + 6 + 561 + 36 + 1 + 60 = 666.

2656136160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2656136167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21181 + ... + 75900.

It is an arithmetic number, because the mean of its divisors is an integer number (66258465).

Almost surely, 22656136160 is an apocalyptic number.

2656136160 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 2656136160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4770609480).

2656136160 is an abundant number, since it is smaller than the sum of its proper divisors (6885082800).

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

2656136160 is a wasteful number, since it uses less digits than its factorization.

2656136160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97121 (or 97110 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2656136160 is about 51537.7158981653. The cubic root of 2656136160 is about 1384.8947792881.

The spelling of 2656136160 in words is "two billion, six hundred fifty-six million, one hundred thirty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 27360 97081 194162 291243 388324 485405 582486 776648 873729 970810 1164972 1456215 1553296 1747458 1844539 1941620 2329944 2912430 3106592 3494916 3689078 3883240 4368645 4659888 5533617 5824860 6989832 7378156 7766480 8737290 9222695 9319776 11067234 11649720 13979664 14756312 15532960 16600851 17474580 18445390 22134468 23299440 27668085 27959328 29512624 33201702 34949160 36890780 44268936 46598880 55336170 59025248 66403404 69898320 73781560 83004255 88537872 110672340 132806808 139796640 147563120 166008510 177075744 221344680 265613616 295126240 332017020 442689360 531227232 664034040 885378720 1328068080 2656136160