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83245734110712 = 233235313007218761
BaseRepresentation
bin10010111011011000101000…
…011010010010010111111000
3101220202012210100012112012210
4102323120220122102113320
541402344230413020322
6453014321242535120
723351206615630245
oct2273305032222770
9356665710175183
1083245734110712
112458535476a328
1294056b7b074a0
13375b067a15854
14167b1878d45cc
1599562c6ee70c
hex4bb6286925f8

83245734110712 has 128 divisors (see below), whose sum is σ = 221278218024960. Its totient is φ = 26039202309120.

The previous prime is 83245734110683. The next prime is 83245734110753. The reversal of 83245734110712 is 21701143754238.

83245734110712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380423412 + ... + 380642172.

It is an arithmetic number, because the mean of its divisors is an integer number (1728736078320).

Almost surely, 283245734110712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83245734110712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110639109012480).

83245734110712 is an abundant number, since it is smaller than the sum of its proper divisors (138032483914248).

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

83245734110712 is a wasteful number, since it uses less digits than its factorization.

83245734110712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231853 (or 231849 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 83245734110712 in words is "eighty-three trillion, two hundred forty-five billion, seven hundred thirty-four million, one hundred ten thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 53 69 92 106 138 159 184 212 276 318 424 552 636 1219 1272 2438 3657 4876 7314 9752 13007 14628 26014 29256 39021 52028 78042 104056 156084 218761 299161 312168 437522 598322 656283 689371 875044 897483 1196644 1312566 1378742 1750088 1794966 2068113 2393288 2625132 2757484 3589932 4136226 5031503 5250264 5514968 7179864 8272452 10063006 11594333 15094509 15855533 16544904 20126012 23188666 30189018 31711066 34782999 40252024 46377332 47566599 60378036 63422132 69565998 92754664 95133198 120756072 126844264 139131996 190266396 266669659 278263992 380532792 533339318 800008977 1066678636 1600017954 2133357272 2845424327 3200035908 5690848654 6400071816 8536272981 11381697308 17072545962 22763394616 34145091924 65444759521 68290183848 130889519042 150807489331 196334278563 261779038084 301614978662 392668557126 452422467993 523558076168 603229957324 785337114252 904844935986 1206459914648 1570674228504 1809689871972 3468572254613 3619379743944 6937144509226 10405716763839 13874289018452 20811433527678 27748578036904 41622867055356 83245734110712