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103646868216912 = 24324191717827967
BaseRepresentation
bin10111100100010000101010…
…110000110001110001010000
3111120222112200110020222002200
4113210100222300301301100
5102041122241230420122
61004234414113043200
730555145005416226
oct2744205260616120
9446875613228080
10103646868216912
1130030432049509
12b75b55a556500
1345aab1c59a577
141b8476c7b0b16
15beb15d8005ac
hex5e442ac31c50

103646868216912 has 60 divisors (see below), whose sum is σ = 290759561863680. Its totient is φ = 34466500309824.

The previous prime is 103646868216907. The next prime is 103646868216919. The reversal of 103646868216912 is 219612868646301.

103646868216912 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 468 + 6 + 8 + 2 + 169 + 1 + 2 = 666.

It is a super-3 number, since 3×1036468682169123 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103646868216912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103646868216919) 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 11 ways as a sum of consecutive naturals, for example, 858853648 + ... + 858974319.

It is an arithmetic number, because the mean of its divisors is an integer number (4845992697728).

Almost surely, 2103646868216912 is an apocalyptic number.

103646868216912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103646868216912 is an abundant number, since it is smaller than the sum of its proper divisors (187112693646768).

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

103646868216912 is a wasteful number, since it uses less digits than its factorization.

103646868216912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717828400 (or 1717828391 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 103646868216912 in words is "one hundred three trillion, six hundred forty-six billion, eight hundred sixty-eight million, two hundred sixteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 419 838 1257 1676 2514 3352 3771 5028 6704 7542 10056 15084 20112 30168 60336 1717827967 3435655934 5153483901 6871311868 10306967802 13742623736 15460451703 20613935604 27485247472 30920903406 41227871208 61841806812 82455742416 123683613624 247367227248 719769918173 1439539836346 2159309754519 2879079672692 4318619509038 5758159345384 6477929263557 8637239018076 11516318690768 12955858527114 17274478036152 25911717054228 34548956072304 51823434108456 103646868216912