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117042182362560 = 2635713311311731907
BaseRepresentation
bin11010100111001100000001…
…101101000001010111000000
3120100102010022221001210121210
4122213030001231001113000
5110320104342141100220
61052532234123450120
733440006250120660
oct3247140155012700
9510363287053553
10117042182362560
11343253467298a4
1211163686086940
135040051b46a20
1420c8c2c5101a0
15d7e8082ce6e0
hex6a7301b415c0

117042182362560 has 1792 divisors, whose sum is σ = 478723242590208. Its totient is φ = 23566137753600.

The previous prime is 117042182362559. The next prime is 117042182362601. The reversal of 117042182362560 is 65263281240711.

It is a super-2 number, since 2×1170421823625602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 61375029127 + ... + 61375031033.

It is an arithmetic number, because the mean of its divisors is an integer number (267144666624).

Almost surely, 2117042182362560 is an apocalyptic number.

117042182362560 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 117042182362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239361621295104).

117042182362560 is an abundant number, since it is smaller than the sum of its proper divisors (361681060227648).

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

117042182362560 is a wasteful number, since it uses less digits than its factorization.

117042182362560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 117042182362560 in words is "one hundred seventeen trillion, forty-two billion, one hundred eighty-two million, three hundred sixty-two thousand, five hundred sixty".