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135830925828 = 223213290237021
BaseRepresentation
bin111111010000000100…
…1110111001000000100
3110222121021211222010200
41332200021313020010
54211140204111303
6142222212050500
712546005551053
oct1764011671004
9428537758120
10135830925828
115267301aaa4
12223a9603a30
13ca68c237c0
146807a6639a
1537eec003a3
hex1fa0277204

135830925828 has 36 divisors (see below), whose sum is σ = 369761966028. Its totient is φ = 41794130880.

The previous prime is 135830925827. The next prime is 135830925833. The reversal of 135830925828 is 828529038531.

135830925828 is a `hidden beast` number, since 1 + 3 + 58 + 3 + 0 + 9 + 2 + 582 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92453699844 + 43377225984 = 304062^2 + 208272^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1358309258282 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135830925827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145118043 + ... + 145118978.

It is an arithmetic number, because the mean of its divisors is an integer number (10271165723).

Almost surely, 2135830925828 is an apocalyptic number.

135830925828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135830925828 is an abundant number, since it is smaller than the sum of its proper divisors (233931040200).

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

135830925828 is a wasteful number, since it uses less digits than its factorization.

135830925828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290237044 (or 290237039 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 135830925828 in words is "one hundred thirty-five billion, eight hundred thirty million, nine hundred twenty-five thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 290237021 580474042 870711063 1160948084 1741422126 2612133189 3482844252 3773081273 5224266378 7546162546 10448532756 11319243819 15092325092 22638487638 33957731457 45276975276 67915462914 135830925828