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13271769088 = 2137322193
BaseRepresentation
bin11000101110000111…
…10010000000000000
31021020221011201120021
430113003302000000
5204140033102323
610032540023224
7646613114224
oct142703620000
937227151507
1013271769088
1156a0627606
1226a4831b14
131336796b06
148dc8b0784
1552a23605d
hex3170f2000

13271769088 has 56 divisors (see below), whose sum is σ = 26906718348. Its totient is φ = 6544687104.

The previous prime is 13271769023. The next prime is 13271769127. The reversal of 13271769088 is 88096717231.

It can be written as a sum of positive squares in 2 ways, for example, as 12019175424 + 1252593664 = 109632^2 + 35392^2 .

It is a super-2 number, since 2×132717690882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 586920 + ... + 609112.

Almost surely, 213271769088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13271769088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13453359174).

13271769088 is an abundant number, since it is smaller than the sum of its proper divisors (13634949260).

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

13271769088 is an frugal number, since it uses more digits than its factorization.

13271769088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22292 (or 22268 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 52.

The spelling of 13271769088 in words is "thirteen billion, two hundred seventy-one million, seven hundred sixty-nine thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 512 584 1024 1168 2048 2336 4096 4672 8192 9344 18688 22193 37376 44386 74752 88772 149504 177544 299008 355088 598016 710176 1420352 1620089 2840704 3240178 5681408 6480356 11362816 12960712 22725632 25921424 45451264 51842848 90902528 103685696 181805056 207371392 414742784 829485568 1658971136 3317942272 6635884544 13271769088