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117481233408 = 2103721170951
BaseRepresentation
bin110110101101001101…
…1010101110000000000
3102020020110200000021220
41231122123111300000
53411100143432113
6125545314315040
711326203002400
oct1553233256000
9366213600256
10117481233408
1145907103540
121a928288a80
13b103417036
145986a0c800
1530c8cbe523
hex1b5a6d5c00

117481233408 has 264 divisors, whose sum is σ = 397373203584. Its totient is φ = 30514176000.

The previous prime is 117481233403. The next prime is 117481233509. The reversal of 117481233408 is 804332184711.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 117481233408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117481233403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1620333 + ... + 1691283.

Almost surely, 2117481233408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117481233408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198686601792).

117481233408 is an abundant number, since it is smaller than the sum of its proper divisors (279891970176).

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

117481233408 is a wasteful number, since it uses less digits than its factorization.

117481233408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70999 (or 70974 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 117481233408 in words is "one hundred seventeen billion, four hundred eighty-one million, two hundred thirty-three thousand, four hundred eight".