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136090119698289 = 323721050972
BaseRepresentation
bin11110111100010111110011…
…001111011111011101110001
3122211212002101102122211222100
4132330113303033133131301
5120314200031120321124
61201234534330531013
740444121014053051
oct3674276317373561
9584762342584870
10136090119698289
113a3a954a786879
121331b215896a69
135ac2321486a33
142586b22b27561
1510b003a1541c9
hex7bc5f33df771

136090119698289 has 27 divisors (see below), whose sum is σ = 202032957117537. Its totient is φ = 88273832301504.

The previous prime is 136090119698287. The next prime is 136090119698297. The reversal of 136090119698289 is 982896911090631.

The square root of 136090119698289 is 11665767.

It is a perfect power (a square), and thus also a powerful number.

136090119698289 is a `hidden beast` number, since 1 + 3 + 60 + 90 + 119 + 6 + 98 + 289 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 115630600529889 + 20459519168400 = 10753167^2 + 4523220^2 .

It is not a de Polignac number, because 136090119698289 - 21 = 136090119698287 is a prime.

It is not an unprimeable number, because it can be changed into a prime (136090119698287) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1294847589 + ... + 1294952685.

Almost surely, 2136090119698289 is an apocalyptic number.

136090119698289 is the 11665767-th square number.

136090119698289 is the 5832884-th centered octagonal number.

It is an amenable number.

136090119698289 is a deficient number, since it is larger than the sum of its proper divisors (65942837419248).

136090119698289 is an frugal number, since it uses more digits than its factorization.

136090119698289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210274 (or 105137 counting only the distinct ones).

The product of its (nonzero) digits is 90699264, while the sum is 72.

The spelling of 136090119698289 in words is "one hundred thirty-six trillion, ninety billion, one hundred nineteen million, six hundred ninety-eight thousand, two hundred eighty-nine".

Divisors: 1 3 9 37 111 333 1369 4107 12321 105097 315291 945873 3888589 11665767 34997301 143877793 431633379 1294900137 11045379409 33136138227 99408414681 408679038133 1226037114399 3678111343197 15121124410921 45363373232763 136090119698289