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13804121088 = 21034473541
BaseRepresentation
bin11001101101100101…
…00010110000000000
31022122000220000020000
430312302202300000
5211232323333323
610201434120000
7666036043662
oct146662426000
938560800200
1013804121088
11594408053a
122812b80000
1313bcb685b4
1494d488532
1555bd3ee43
hex336ca2c00

13804121088 has 220 divisors, whose sum is σ = 42110752992. Its totient is φ = 4502200320.

The previous prime is 13804121047. The next prime is 13804121101. The reversal of 13804121088 is 88012140831.

13804121088 is a `hidden beast` number, since 138 + 0 + 412 + 108 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3896598 + ... + 3900138.

Almost surely, 213804121088 is an apocalyptic number.

13804121088 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 13804121088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21055376496).

13804121088 is an abundant number, since it is smaller than the sum of its proper divisors (28306631904).

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

13804121088 is an equidigital number, since it uses as much as digits as its factorization.

13804121088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 13804121088 in words is "thirteen billion, eight hundred four million, one hundred twenty-one thousand, eighty-eight".