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88168001768 = 23711143129873
BaseRepresentation
bin101001000011100111…
…0001111000011101000
322102120120122112222222
41102013032033003220
52421032002024033
6104300454133212
76240612435560
oct1220716170350
9272516575888
1088168001768
11344345a1770
1215107351208
13841140a862
1443a5895da0
152460602598
hex148738f0e8

88168001768 has 32 divisors (see below), whose sum is σ = 206107018560. Its totient is φ = 34351169280.

The previous prime is 88168001699. The next prime is 88168001773. The reversal of 88168001768 is 86710086188.

It is a happy number.

It is a super-2 number, since 2×881680017682 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71564321 + ... + 71565552.

It is an arithmetic number, because the mean of its divisors is an integer number (6440844330).

Almost surely, 288168001768 is an apocalyptic number.

88168001768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

88168001768 is an abundant number, since it is smaller than the sum of its proper divisors (117939016792).

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

88168001768 is a wasteful number, since it uses less digits than its factorization.

88168001768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143129897 (or 143129893 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 53.

The spelling of 88168001768 in words is "eighty-eight billion, one hundred sixty-eight million, one thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 143129873 286259746 572519492 1001909111 1145038984 1574428603 2003818222 3148857206 4007636444 6297714412 8015272888 11021000221 12595428824 22042000442 44084000884 88168001768