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26980140096 = 26337213127193
BaseRepresentation
bin11001001000001001…
…000100010001000000
32120122021220010101000
4121020021010101000
5420223403440341
620221114012000
71643410256400
oct311011042100
976567803330
1026980140096
1110495649648
12528b717000
13270c849150
14143d352800
15a7d9608b6
hex648244440

26980140096 has 672 divisors, whose sum is σ = 100664954880. Its totient is φ = 7023034368.

The previous prime is 26980140067. The next prime is 26980140097. The reversal of 26980140096 is 69004108962.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (26980140097) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139793376 + ... + 139793568.

It is an arithmetic number, because the mean of its divisors is an integer number (149799040).

Almost surely, 226980140096 is an apocalyptic number.

26980140096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26980140096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50332477440).

26980140096 is an abundant number, since it is smaller than the sum of its proper divisors (73684814784).

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

26980140096 is a wasteful number, since it uses less digits than its factorization.

26980140096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 26980140096 in words is "twenty-six billion, nine hundred eighty million, one hundred forty thousand, ninety-six".