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117038990223936 = 26321124329532
BaseRepresentation
bin11010100111001001000011…
…011011111110101001000000
3120100101211002110111100122100
4122213021003123332221000
5110320031322444131221
61052530545253110400
733436534166312244
oct3247110333765100
9510354073440570
10117038990223936
1134323a58865900
1211162b35028400
13503c9636cb4c1
1420c8a085b0424
15d7e6bce35926
hex6a72436fea40

117038990223936 has 567 divisors, whose sum is σ = 377912346981897. Its totient is φ = 34605211576320.

The previous prime is 117038990223899. The next prime is 117038990224001. The reversal of 117038990223936 is 639322099830711.

The square root of 117038990223936 is 10818456.

It is a perfect power (a square), and thus also a powerful number.

117038990223936 is a `hidden beast` number, since 1 + 17 + 0 + 389 + 9 + 0 + 2 + 239 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48741062990400 + 68297927233536 = 6981480^2 + 8264256^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 122811112036 + ... + 122811112988.

Almost surely, 2117038990223936 is an apocalyptic number.

117038990223936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

117038990223936 is the 10818456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117038990223936

117038990223936 is an abundant number, since it is smaller than the sum of its proper divisors (260873356757961).

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

117038990223936 is an frugal number, since it uses more digits than its factorization.

117038990223936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 117038990223936 in words is "one hundred seventeen trillion, thirty-eight billion, nine hundred ninety million, two hundred twenty-three thousand, nine hundred thirty-six".