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26542230120 = 23335719257719
BaseRepresentation
bin11000101110000010…
…100100101001101000
32112111202212222211000
4120232002210221220
5413324302330440
620105432035000
71626512143050
oct305602445150
975452788730
1026542230120
111029044037a
125188b32a60
13266cbc3413
1413db120560
15a552ae730
hex62e0a4a68

26542230120 has 512 divisors, whose sum is σ = 106997760000. Its totient is φ = 5717164032.

The previous prime is 26542230109. The next prime is 26542230131. The reversal of 26542230120 is 2103224562.

It is a happy number.

26542230120 is a `hidden beast` number, since 2 + 654 + 2 + 2 + 3 + 0 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26542230109) and next prime (26542230131).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36915121 + ... + 36915839.

It is an arithmetic number, because the mean of its divisors is an integer number (208980000).

Almost surely, 226542230120 is an apocalyptic number.

26542230120 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 26542230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53498880000).

26542230120 is an abundant number, since it is smaller than the sum of its proper divisors (80455529880).

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

26542230120 is a wasteful number, since it uses less digits than its factorization.

26542230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 26542230120 its reverse (2103224562), we get a palindrome (28645454682).

The spelling of 26542230120 in words is "twenty-six billion, five hundred forty-two million, two hundred thirty thousand, one hundred twenty".