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117468973440 = 2734571337673
BaseRepresentation
bin110110101100110110…
…0100100100110000000
3102020012121121010210000
41231121230210212000
53411034024122230
6125544155440000
711325663541140
oct1553154444600
9366177533700
10117468973440
114590019a435
121a924156000
13b100a13910
14598513a920
1530c7b9bb60
hex1b59b24980

117468973440 has 1280 divisors, whose sum is σ = 531053550720. Its totient is φ = 24078974976.

The previous prime is 117468973429. The next prime is 117468973441. The reversal of 117468973440 is 44379864711.

It is a happy number.

117468973440 is a `hidden beast` number, since 1 + 1 + 74 + 68 + 9 + 73 + 440 = 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 (117468973441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 174544944 + ... + 174545616.

Almost surely, 2117468973440 is an apocalyptic number.

117468973440 is a gapful number since it is divisible by the number (10) 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 117468973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265526775360).

117468973440 is an abundant number, since it is smaller than the sum of its proper divisors (413584577280).

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

117468973440 is a wasteful number, since it uses less digits than its factorization.

117468973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 117468973440 in words is "one hundred seventeen billion, four hundred sixty-eight million, nine hundred seventy-three thousand, four hundred forty".