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83849088242592 = 25322600311196503
BaseRepresentation
bin10011000100001010100011…
…000111101001001110100000
3101222212220011010110010122200
4103010022203013221032200
541442240413042230332
6454155423411533200
723442616400264361
oct2304124307511640
9358786133403580
1083849088242592
112479822040a842
1294a2621bba200
1337a2c2052937a
14169c463405b68
159a6191c6417c
hex4c42a31e93a0

83849088242592 has 72 divisors (see below), whose sum is σ = 238455035923104. Its totient is φ = 27948618720384.

The previous prime is 83849088242587. The next prime is 83849088242627. The reversal of 83849088242592 is 29524288094838.

It is a happy number.

83849088242592 is a `hidden beast` number, since 8 + 3 + 8 + 4 + 9 + 0 + 8 + 8 + 24 + 2 + 592 = 666.

83849088242592 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×838490882425922 (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 83849088242592.

It is an unprimeable number.

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, 1890613 + ... + 13087115.

It is an arithmetic number, because the mean of its divisors is an integer number (3311875498932).

Almost surely, 283849088242592 is an apocalyptic number.

It is an amenable number.

83849088242592 is an abundant number, since it is smaller than the sum of its proper divisors (154605947680512).

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

83849088242592 is a wasteful number, since it uses less digits than its factorization.

83849088242592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11222522 (or 11222511 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 83849088242592 in words is "eighty-three trillion, eight hundred forty-nine billion, eighty-eight million, two hundred forty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 26003 52006 78009 104012 156018 208024 234027 312036 416048 468054 624072 832096 936108 1248144 1872216 2496288 3744432 7488864 11196503 22393006 33589509 44786012 67179018 89572024 100768527 134358036 179144048 201537054 268716072 358288096 403074108 537432144 806148216 1074864288 1612296432 3224592864 291142667509 582285335018 873428002527 1164570670036 1746856005054 2329141340072 2620284007581 3493712010108 4658282680144 5240568015162 6987424020216 9316565360288 10481136030324 13974848040432 20962272060648 27949696080864 41924544121296 83849088242592