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26461453788 = 223371114892137
BaseRepresentation
bin11000101001001110…
…011011110111011100
32112022010220010112000
4120221032123313130
5413143113010123
620053424442300
71624511434410
oct305116336734
975263803460
1026461453788
1110249889980
125165a79390
132659250883
1413d04d4d40
15a4d155b43
hex62939bddc

26461453788 has 192 divisors, whose sum is σ = 85629465600. Its totient is φ = 6865274880.

The previous prime is 26461453783. The next prime is 26461453831. The reversal of 26461453788 is 88735416462.

It is a happy number.

26461453788 is a `hidden beast` number, since 2 + 64 + 61 + 453 + 78 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26461453783) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12381456 + ... + 12383592.

It is an arithmetic number, because the mean of its divisors is an integer number (445986800).

Almost surely, 226461453788 is an apocalyptic number.

26461453788 is a gapful number since it is divisible by the number (28) 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 26461453788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42814732800).

26461453788 is an abundant number, since it is smaller than the sum of its proper divisors (59168011812).

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

26461453788 is a wasteful number, since it uses less digits than its factorization.

26461453788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3649 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

It can be divided in two parts, 26461 and 453788, that added together give a square (480249 = 6932).

The spelling of 26461453788 in words is "twenty-six billion, four hundred sixty-one million, four hundred fifty-three thousand, seven hundred eighty-eight".