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113796251569 = 721121323372
BaseRepresentation
bin110100111111011001…
…0001111111110110001
3101212201122201112112001
41221332302033332301
53331023320022234
6124135520334001
711135656115200
oct1517662177661
9355648645461
10113796251569
1144296021100
121a07a174301
13a966b51100
14571745b237
152e60522d14
hex1a7ec8ffb1

113796251569 has 81 divisors (see below), whose sum is σ = 158025800961. Its totient is φ = 81608567040.

The previous prime is 113796251561. The next prime is 113796251659. The reversal of 113796251569 is 965152697311.

The square root of 113796251569 is 337337.

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

It can be written as a sum of positive squares in 4 ways, for example, as 39496395169 + 74299856400 = 198737^2 + 272580^2 .

It is not a de Polignac number, because 113796251569 - 23 = 113796251561 is a prime.

It is a super-3 number, since 3×1137962515693 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (113796251561) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 337674169 + ... + 337674505.

Almost surely, 2113796251569 is an apocalyptic number.

113796251569 is the 337337-th square number.

113796251569 is the 168669-th centered octagonal number.

It is an amenable number.

113796251569 is a deficient number, since it is larger than the sum of its proper divisors (44229549392).

113796251569 is an equidigital number, since it uses as much as digits as its factorization.

113796251569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 368 counting only the distinct ones).

The product of its digits is 3061800, while the sum is 55.

The spelling of 113796251569 in words is "one hundred thirteen billion, seven hundred ninety-six million, two hundred fifty-one thousand, five hundred sixty-nine".

Divisors: 1 7 11 13 49 77 91 121 143 169 337 539 637 847 1001 1183 1573 1859 2359 3707 4381 5929 7007 8281 11011 13013 16513 20449 25949 30667 40777 48191 56953 77077 91091 113569 143143 181643 214669 285439 337337 398671 530101 626483 794983 1002001 1249259 1476397 1998073 2361359 2790697 3710707 4385381 5564881 6891313 8744813 10334779 13741849 16240367 19193161 25974949 30697667 48239191 61213691 72343453 96192943 113682569 134352127 178644037 211124771 337674337 673350601 795777983 940464889 1250508259 1477873397 2322372481 8753557813 10345113779 16256607367 113796251569