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26129211400 = 2352130646057
BaseRepresentation
bin11000010101011011…
…000010000000001000
32111102222201110122101
4120111123002000020
5412003034231100
620000435403144
71613335426615
oct302533020010
974388643571
1026129211400
1110099293296
1250927534b4
132605474246
14139c32b50c
15a2ddc886a
hex6156c2008

26129211400 has 24 divisors (see below), whose sum is σ = 60750416970. Its totient is φ = 10451684480.

The previous prime is 26129211373. The next prime is 26129211401. The reversal of 26129211400 is 411292162.

It can be written as a sum of positive squares in 3 ways, for example, as 24312917476 + 1816293924 = 155926^2 + 42618^2 .

It is not an unprimeable number, because it can be changed into a prime (26129211401) 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 5 ways as a sum of consecutive naturals, for example, 65322829 + ... + 65323228.

Almost surely, 226129211400 is an apocalyptic number.

26129211400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26129211400 is an abundant number, since it is smaller than the sum of its proper divisors (34621205570).

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

26129211400 is a wasteful number, since it uses less digits than its factorization.

26129211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130646073 (or 130646064 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 26129211400 in words is "twenty-six billion, one hundred twenty-nine million, two hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 130646057 261292114 522584228 653230285 1045168456 1306460570 2612921140 3266151425 5225842280 6532302850 13064605700 26129211400