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168705772812 = 223331115793181
BaseRepresentation
bin1001110100011110100…
…1011100110100001100
3121010110101200020012000
42131013221130310030
510231002134212222
6205300302112300
715121454260023
oct2350751346414
9533411606160
10168705772812
1165603013125
122884327b690
1312ba7a90895
148245c198ba
1545c5dea9ac
hex2747a5cd0c

168705772812 has 96 divisors (see below), whose sum is σ = 439207641600. Its totient is φ = 56001326400.

The previous prime is 168705772811. The next prime is 168705772849. The reversal of 168705772812 is 218277507861.

168705772812 is a `hidden beast` number, since 1 + 68 + 7 + 0 + 577 + 2 + 8 + 1 + 2 = 666.

168705772812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (168705772811) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 53033862 + ... + 53037042.

It is an arithmetic number, because the mean of its divisors is an integer number (4575079600).

Almost surely, 2168705772812 is an apocalyptic number.

168705772812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

168705772812 is an abundant number, since it is smaller than the sum of its proper divisors (270501868788).

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

168705772812 is a wasteful number, since it uses less digits than its factorization.

168705772812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 54.

The spelling of 168705772812 in words is "one hundred sixty-eight billion, seven hundred five million, seven hundred seventy-two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 311 622 933 1244 1579 1866 2799 3158 3181 3732 4737 5598 6316 6362 8397 9474 9543 11196 12724 14211 16794 18948 19086 28422 28629 33588 38172 42633 56844 57258 85266 85887 114516 170532 171774 343548 491069 982138 989291 1473207 1964276 1978582 2946414 2967873 3957164 4419621 5022799 5892828 5935746 8839242 8903619 10045598 11871492 13258863 15068397 17678484 17807238 20091196 26517726 26710857 30136794 35614476 45205191 53035452 53421714 60273588 90410382 106843428 135615573 180820764 271231146 542462292 1562090489 3124180978 4686271467 6248361956 9372542934 14058814401 18745085868 28117628802 42176443203 56235257604 84352886406 168705772812