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88000011125 = 531341572
BaseRepresentation
bin101000111110100110…
…1011001101101110101
322102010212112202011022
41101331031121231311
52420211000324000
6104232053350525
76233502516125
oct1217515315565
9272125482138
1088000011125
1134358791924
121507b038445
1383b5680000
14438b446c85
1524509bc585
hex147d359b75

88000011125 has 60 divisors (see below), whose sum is σ = 119738328372. Its totient is φ = 64570708800.

The previous prime is 88000011119. The next prime is 88000011173. The reversal of 88000011125 is 52111000088.

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.

It can be written as a sum of positive squares in 30 ways, for example, as 75307684 + 87924703441 = 8678^2 + 296521^2 .

It is not a de Polignac number, because 88000011125 - 216 = 87999945589 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 88000011094 and 88000011103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 560509547 + ... + 560509703.

Almost surely, 288000011125 is an apocalyptic number.

It is an amenable number.

88000011125 is a deficient number, since it is larger than the sum of its proper divisors (31738317247).

88000011125 is an frugal number, since it uses more digits than its factorization.

88000011125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 26.

The spelling of 88000011125 in words is "eighty-eight billion, eleven thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 157 169 325 785 845 1625 2041 2197 3925 4225 10205 10985 19625 21125 24649 26533 28561 51025 54925 123245 132665 142805 255125 274625 320437 344929 616225 663325 714025 1602185 1724645 3081125 3316625 3570125 4165681 4484077 8010925 8623225 20828405 22420385 40054625 43116125 54153853 104142025 112101925 270769265 520710125 560509625 704000089 1353846325 3520000445 6769231625 17600002225 88000011125