Search a number
-
+
135588270875877 = 3253284252140201
BaseRepresentation
bin11110110101000100011010…
…101110001010010011100101
3122210002010000201120020011200
4132311010122232022103211
5120232434234321012002
61200212220340553113
740362633515334531
oct3665043256122345
9583063021506150
10135588270875877
113a225732148776
1213259ab96b2799
135a86bc42b3801
14256a71615cbc1
1510a1e67071b1c
hex7b511ab8a4e5

135588270875877 has 12 divisors (see below), whose sum is σ = 199545002421804. Its totient is φ = 88686667742400.

The previous prime is 135588270875873. The next prime is 135588270875881. The reversal of 135588270875877 is 778578072885531.

135588270875877 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 8 + 8 + 27 + 0 + 8 + 7 + 587 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (135588270875873) and next prime (135588270875881).

It can be written as a sum of positive squares in 2 ways, for example, as 32186400969636 + 103401869906241 = 5673306^2 + 10168671^2 .

It is not a de Polignac number, because 135588270875877 - 22 = 135588270875873 is a prime.

It is a super-2 number, since 2×1355882708758772 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135588270875796 and 135588270875805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135588270875873) 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, 142126069624 + ... + 142126070577.

It is an arithmetic number, because the mean of its divisors is an integer number (16628750201817).

Almost surely, 2135588270875877 is an apocalyptic number.

It is an amenable number.

135588270875877 is a deficient number, since it is larger than the sum of its proper divisors (63956731545927).

135588270875877 is a wasteful number, since it uses less digits than its factorization.

135588270875877 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284252140260 (or 284252140257 counting only the distinct ones).

The product of its (nonzero) digits is 7375872000, while the sum is 81.

The spelling of 135588270875877 in words is "one hundred thirty-five trillion, five hundred eighty-eight billion, two hundred seventy million, eight hundred seventy-five thousand, eight hundred seventy-seven".

Divisors: 1 3 9 53 159 477 284252140201 852756420603 2558269261809 15065363430653 45196090291959 135588270875877