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104866265088 = 21137131801
BaseRepresentation
bin110000110101010000…
…1000011100000000000
3101000200022101020000000
41201222201003200000
53204231230440323
6120101440000000
710401453355164
oct1415241034000
9330608336000
10104866265088
1140523300092
12183a7600000
139b72a45840
14510b46cca4
152adb575e43
hex186a843800

104866265088 has 384 divisors, whose sum is σ = 338852404800. Its totient is φ = 32248627200.

The previous prime is 104866265081. The next prime is 104866265089. The reversal of 104866265088 is 880562668401.

104866265088 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 6 + 626 + 5 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (104866265081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58225788 + ... + 58227588.

Almost surely, 2104866265088 is an apocalyptic number.

104866265088 is a gapful number since it is divisible by the number (18) 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 104866265088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169426202400).

104866265088 is an abundant number, since it is smaller than the sum of its proper divisors (233986139712).

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

104866265088 is an frugal number, since it uses more digits than its factorization.

104866265088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 104866265088 in words is "one hundred four billion, eight hundred sixty-six million, two hundred sixty-five thousand, eighty-eight".