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26798947920 = 24325199359521
BaseRepresentation
bin11000111101010101…
…110111111001010000
32120011122221121102200
4120331111313321100
5414341012313140
620151122243200
71636050204333
oct307525677120
976148847380
1026798947920
1110402342248
12523aab6500
1326b1148744
14142326861a
15a6cabe030
hex63d577e50

26798947920 has 240 divisors, whose sum is σ = 90878112000. Its totient is φ = 7077058560.

The previous prime is 26798947913. The next prime is 26798947943. The reversal of 26798947920 is 2974989762.

26798947920 is a `hidden beast` number, since 2 + 67 + 9 + 89 + 479 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51437260 + ... + 51437780.

It is an arithmetic number, because the mean of its divisors is an integer number (378658800).

Almost surely, 226798947920 is an apocalyptic number.

26798947920 is a gapful number since it is divisible by the number (20) 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 26798947920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45439056000).

26798947920 is an abundant number, since it is smaller than the sum of its proper divisors (64079164080).

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

26798947920 is a wasteful number, since it uses less digits than its factorization.

26798947920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 26798947920 in words is "twenty-six billion, seven hundred ninety-eight million, nine hundred forty-seven thousand, nine hundred twenty".