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26613236132 = 22721139111319
BaseRepresentation
bin11000110010010001…
…011100000110100100
32112200201111110202022
4120302101130012210
5414000442024012
620120450002312
71631333526500
oct306221340644
975621443668
1026613236132
111031752922a
1251a8876398
132681824b02
141406725300
15a5b638472
hex63245c1a4

26613236132 has 72 divisors (see below), whose sum is σ = 54757866240. Its totient is φ = 11283767040.

The previous prime is 26613236119. The next prime is 26613236183. The reversal of 26613236132 is 23163231662.

It is a junction number, because it is equal to n+sod(n) for n = 26613236092 and 26613236101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20176169 + ... + 20177487.

It is an arithmetic number, because the mean of its divisors is an integer number (760525920).

Almost surely, 226613236132 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 26613236132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27378933120).

26613236132 is an abundant number, since it is smaller than the sum of its proper divisors (28144630108).

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

26613236132 is a wasteful number, since it uses less digits than its factorization.

26613236132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2352 counting only the distinct ones).

The product of its digits is 46656, while the sum is 35.

Adding to 26613236132 its reverse (23163231662), we get a palindrome (49776467794).

The spelling of 26613236132 in words is "twenty-six billion, six hundred thirteen million, two hundred thirty-six thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 113 196 226 452 791 911 1319 1582 1822 2638 3164 3644 5276 5537 6377 9233 11074 12754 18466 22148 25508 36932 44639 64631 89278 102943 129262 149047 178556 205886 258524 298094 411772 596188 720601 1043329 1201609 1441202 2086658 2403218 2882404 4173316 4806436 5044207 7303303 8411263 10088414 14606606 16822526 20176828 29213212 33645052 58878841 117757682 135781817 235515364 271563634 543127268 950472719 1900945438 3801890876 6653309033 13306618066 26613236132