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8131827531620 = 22513127724491981
BaseRepresentation
bin111011001010101011010…
…1100001111111101100100
31001210101200001010212120102
41312111112230033331210
52031212440322002440
625143413205323232
71466335160356142
oct166252654177544
931711601125512
108131827531620
112655763710981
12ab4004706518
1346ca9c2a8340
1420182274a592
15e17da46eb15
hex76556b0ff64

8131827531620 has 48 divisors (see below), whose sum is σ = 18404842761648. Its totient is φ = 3000169582080.

The previous prime is 8131827531559. The next prime is 8131827531701. The reversal of 8131827531620 is 261357281318.

It can be written as a sum of positive squares in 8 ways, for example, as 1081188199204 + 7050639332416 = 1039802^2 + 2655304^2 .

It is a super-2 number, since 2×81318275316202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11913971 + ... + 12578010.

It is an arithmetic number, because the mean of its divisors is an integer number (383434224201).

Almost surely, 28131827531620 is an apocalyptic number.

It is an amenable number.

8131827531620 is an abundant number, since it is smaller than the sum of its proper divisors (10273015230028).

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

8131827531620 is a wasteful number, since it uses less digits than its factorization.

8131827531620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24493280 (or 24493278 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 8131827531620 in words is "eight trillion, one hundred thirty-one billion, eight hundred twenty-seven million, five hundred thirty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1277 2554 5108 6385 12770 16601 25540 33202 66404 83005 166010 332020 24491981 48983962 97967924 122459905 244919810 318395753 489839620 636791506 1273583012 1591978765 3183957530 6367915060 31276259737 62552519474 125105038948 156381298685 312762597370 406591376581 625525194740 813182753162 1626365506324 2032956882905 4065913765810 8131827531620