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168765387768 = 23328926336671
BaseRepresentation
bin1001110100101100110…
…0110111001111111000
3121010121112211222112100
42131023030313033320
510231112414402033
6205310231543400
715123110061405
oct2351314671770
9533545758470
10168765387768
116563373078a
122885b22ab60
1312bb72344c3
14824dad72ac
1545cb274513
hex274b3373f8

168765387768 has 48 divisors (see below), whose sum is σ = 462208593600. Its totient is φ = 55623047040.

The previous prime is 168765387731. The next prime is 168765387787. The reversal of 168765387768 is 867783567861.

168765387768 is a `hidden beast` number, since 1 + 6 + 87 + 6 + 538 + 7 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×1687653877682 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 168765387696 and 168765387705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13161928 + ... + 13174743.

It is an arithmetic number, because the mean of its divisors is an integer number (9629345700).

Almost surely, 2168765387768 is an apocalyptic number.

168765387768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

168765387768 is an abundant number, since it is smaller than the sum of its proper divisors (293443205832).

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

168765387768 is a wasteful number, since it uses less digits than its factorization.

168765387768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26336772 (or 26336765 counting only the distinct ones).

The product of its digits is 568995840, while the sum is 72.

The spelling of 168765387768 in words is "one hundred sixty-eight billion, seven hundred sixty-five million, three hundred eighty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 3204 6408 26336671 52673342 79010013 105346684 158020026 210693368 237030039 316040052 474060078 632080104 948120156 1896240312 2343963719 4687927438 7031891157 9375854876 14063782314 18751709752 21095673471 28127564628 42191346942 56255129256 84382693884 168765387768