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61620464676315 = 35191039112304223
BaseRepresentation
bin11100000001011001000011…
…11010000110110111011011
322002011212012010120021021010
432000230201322012313123
531034042202424120230
6335020014540145003
715656634362423016
oct1600544172066733
9262155163507233
1061620464676315
11186a810195a826
126ab2560b38163
13284ca2851704c
141130636d0837d
1571cd52ade9b0
hex380b21e86ddb

61620464676315 has 64 divisors (see below), whose sum is σ = 104904498216960. Its totient is φ = 30798415589760.

The previous prime is 61620464676313. The next prime is 61620464676409. The reversal of 61620464676315 is 51367646402616.

It is a happy number.

61620464676315 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61620464676315 - 21 = 61620464676313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (61620464676313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25590294 + ... + 27894516.

It is an arithmetic number, because the mean of its divisors is an integer number (1639132784640).

Almost surely, 261620464676315 is an apocalyptic number.

61620464676315 is a deficient number, since it is larger than the sum of its proper divisors (43284033540645).

61620464676315 is a wasteful number, since it uses less digits than its factorization.

61620464676315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305264.

The product of its (nonzero) digits is 26127360, while the sum is 57.

The spelling of 61620464676315 in words is "sixty-one trillion, six hundred twenty billion, four hundred sixty-four million, six hundred seventy-six thousand, three hundred fifteen".

Divisors: 1 3 5 15 19 57 95 103 285 309 515 911 1545 1957 2733 4555 5871 9785 13665 17309 29355 51927 86545 93833 259635 281499 469165 1407495 1782827 2304223 5348481 6912669 8914135 11521115 26742405 34563345 43780237 131340711 218901185 237334969 656703555 712004907 1186674845 2099147153 3560024535 4509364411 6297441459 10495735765 13528093233 22546822055 31487207295 39883795907 67640466165 119651387721 199418979535 216212156759 598256938605 648636470277 1081060783795 3243182351385 4108030978421 12324092935263 20540154892105 61620464676315