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26342426900 = 22521523317293
BaseRepresentation
bin11000100010001000…
…011000100100010100
32111222211220221022202
4120202020120210110
5412422130130100
620033533344032
71621534635266
oct304210304424
974884827282
1026342426900
1110198682249
125132038018
13263a6a786a
1413bc78db36
15a429937d5
hex622218914

26342426900 has 36 divisors (see below), whose sum is σ = 57170124732. Its totient is φ = 10535669760.

The previous prime is 26342426837. The next prime is 26342426909. The reversal of 26342426900 is 962424362.

It can be written as a sum of positive squares in 6 ways, for example, as 8969605264 + 17372821636 = 94708^2 + 131806^2 .

It is a super-2 number, since 2×263424269002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26342426909) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1514654 + ... + 1531946.

Almost surely, 226342426900 is an apocalyptic number.

26342426900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26342426900 is an abundant number, since it is smaller than the sum of its proper divisors (30827697832).

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

26342426900 is a wasteful number, since it uses less digits than its factorization.

26342426900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32540 (or 32533 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The spelling of 26342426900 in words is "twenty-six billion, three hundred forty-two million, four hundred twenty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 15233 17293 30466 34586 60932 69172 76165 86465 152330 172930 304660 345860 380825 432325 761650 864650 1523300 1729300 263424269 526848538 1053697076 1317121345 2634242690 5268485380 6585606725 13171213450 26342426900