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116665168752 = 243311791272447
BaseRepresentation
bin110110010100111001…
…0010011001101110000
3102011010121002122001000
41230221302103031300
53402412240400002
6125332323242000
711300033400216
oct1545162231560
9364117078030
10116665168752
11455284a0040
121a73ab19300
13b00332b042
14590a4a0cb6
15307c32261c
hex1b29c93370

116665168752 has 320 divisors, whose sum is σ = 373004697600. Its totient is φ = 34616574720.

The previous prime is 116665168727. The next prime is 116665168787. The reversal of 116665168752 is 257861566611.

It is a super-2 number, since 2×1166651687522 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47675593 + ... + 47678039.

It is an arithmetic number, because the mean of its divisors is an integer number (1165639680).

Almost surely, 2116665168752 is an apocalyptic number.

116665168752 is a gapful number since it is divisible by the number (12) 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 116665168752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186502348800).

116665168752 is an abundant number, since it is smaller than the sum of its proper divisors (256339528848).

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

116665168752 is a wasteful number, since it uses less digits than its factorization.

116665168752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2669 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 116665168752 in words is "one hundred sixteen billion, six hundred sixty-five million, one hundred sixty-eight thousand, seven hundred fifty-two".