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117933030169344 = 283613294140883
BaseRepresentation
bin11010110100001001101100…
…010111101101101100000000
3120110120021202122101022000000
4122310021230113231230000
5110424203321210404334
61054453404112000000
733561244266414315
oct3264115427555400
9513507678338000
10117933030169344
1134639132028445
1211288265230000
1350a6063466590
142119dbc1c4d0c
15d97a970ba299
hex6b426c5edb00

117933030169344 has 1008 divisors, whose sum is σ = 402803302416480. Its totient is φ = 34180439408640.

The previous prime is 117933030169301. The next prime is 117933030169351. The reversal of 117933030169344 is 443961030339711.

117933030169344 is a `hidden beast` number, since 1 + 179 + 3 + 303 + 0 + 169 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2884626727 + ... + 2884667609.

It is an arithmetic number, because the mean of its divisors is an integer number (399606450810).

Almost surely, 2117933030169344 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 117933030169344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201401651208240).

117933030169344 is an abundant number, since it is smaller than the sum of its proper divisors (284870272247136).

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

117933030169344 is an equidigital number, since it uses as much as digits as its factorization.

117933030169344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41000 (or 40971 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 117933030169344 in words is "one hundred seventeen trillion, nine hundred thirty-three billion, thirty million, one hundred sixty-nine thousand, three hundred forty-four".