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26349080976 = 243101672
BaseRepresentation
bin11000100010100001…
…110001000110010000
32112000022110000000000
4120202201301012100
5412430331042401
620034332130000
71621645331031
oct304241610620
975008400000
1026349080976
11101a1407589
125134306900
13263bb9749a
1413bd602a88
15a4335a186
hex622871190

26349080976 has 165 divisors, whose sum is σ = 77037872491. Its totient is φ = 8730434016.

The previous prime is 26349080969. The next prime is 26349080977. The reversal of 26349080976 is 67908094362.

It is a happy number.

The square root of 26349080976 is 162324.

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

26349080976 is a `hidden beast` number, since 2 + 6 + 3 + 490 + 80 + 9 + 76 = 666.

It is a super-2 number, since 2×263490809762 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26349080977) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 157778845 + ... + 157779011.

Almost surely, 226349080976 is an apocalyptic number.

26349080976 is the 162324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26349080976

26349080976 is an abundant number, since it is smaller than the sum of its proper divisors (50688791515).

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

26349080976 is an frugal number, since it uses more digits than its factorization.

26349080976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 26349080976 in words is "twenty-six billion, three hundred forty-nine million, eighty thousand, nine hundred seventy-six".