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613083220488 = 2336102532
BaseRepresentation
bin10001110101111101001…
…10111000101000001000
32011121110211020112000000
420322332212320220020
540021043301023423
61145351353043000
762202526250664
oct10727646705010
92147424215000
10613083220488
11217009549812
129a9a03b6460
1345a763493ab
142195dab38a4
1510e3375c843
hex8ebe9b8a08

613083220488 has 84 divisors (see below), whose sum is σ = 1723676241885. Its totient is φ = 204341141664.

The previous prime is 613083220483. The next prime is 613083220493. The reversal of 613083220488 is 884022380316.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

613083220488 is a `hidden beast` number, since 6 + 130 + 8 + 32 + 2 + 0 + 488 = 666.

It is an interprime number because it is at equal distance from previous prime (613083220483) and next prime (613083220493).

It can be written as a sum of positive squares in 2 ways, for example, as 504472108644 + 108611111844 = 710262^2 + 329562^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=553662.

It is not an unprimeable number, because it can be changed into a prime (613083220483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 59790370 + ... + 59800622.

Almost surely, 2613083220488 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 613083220488

613083220488 is an abundant number, since it is smaller than the sum of its proper divisors (1110593021397).

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

613083220488 is an frugal number, since it uses more digits than its factorization.

613083220488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20530 (or 10258 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 613083220488 in words is "six hundred thirteen billion, eighty-three million, two hundred twenty thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 10253 20506 30759 41012 61518 82024 92277 123036 184554 246072 276831 369108 553662 738216 830493 1107324 1660986 2214648 2491479 3321972 4982958 6643944 7474437 9965916 14948874 19931832 29897748 59795496 105124009 210248018 315372027 420496036 630744054 840992072 946116081 1261488108 1892232162 2522976216 2838348243 3784464324 5676696486 7568928648 8515044729 11353392972 17030089458 22706785944 25545134187 34060178916 51090268374 68120357832 76635402561 102180536748 153270805122 204361073496 306541610244 613083220488