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2656708080 = 2435137091201
BaseRepresentation
bin1001111001011010…
…0010010111110000
320212011001202100120
42132112202113300
520420104124310
61115342250240
7122556434415
oct23626422760
96764052316
102656708080
111143708114
12621886980
13334539720
141b2ba410c
15108382b70
hex9e5a25f0

2656708080 has 160 divisors (see below), whose sum is σ = 8889222720. Its totient is φ = 652492800.

The previous prime is 2656708057. The next prime is 2656708097. The reversal of 2656708080 is 808076562.

2656708080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 2211480 + ... + 2212680.

It is an arithmetic number, because the mean of its divisors is an integer number (55557642).

Almost surely, 22656708080 is an apocalyptic number.

2656708080 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 2656708080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4444611360).

2656708080 is an abundant number, since it is smaller than the sum of its proper divisors (6232514640).

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

2656708080 is a wasteful number, since it uses less digits than its factorization.

2656708080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2656708080 is about 51543.2641574047. The cubic root of 2656708080 is about 1384.9941708018.

The spelling of 2656708080 in words is "two billion, six hundred fifty-six million, seven hundred eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 709 780 1040 1201 1418 1560 2127 2402 2836 3120 3545 3603 4254 4804 5672 6005 7090 7206 8508 9217 9608 10635 11344 12010 14180 14412 15613 17016 18015 18434 19216 21270 24020 27651 28360 28824 31226 34032 36030 36868 42540 46085 46839 48040 55302 56720 57648 62452 72060 73736 78065 85080 92170 93678 96080 110604 124904 138255 144120 147472 156130 170160 184340 187356 221208 234195 249808 276510 288240 312260 368680 374712 442416 468390 553020 624520 737360 749424 851509 936780 1106040 1249040 1703018 1873560 2212080 2554527 3406036 3747120 4257545 5109054 6812072 8515090 10218108 11069617 12772635 13624144 17030180 20436216 22139234 25545270 33208851 34060360 40872432 44278468 51090540 55348085 66417702 68120720 88556936 102181080 110696170 132835404 166044255 177113872 204362160 221392340 265670808 332088510 442784680 531341616 664177020 885569360 1328354040 2656708080