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12036820286192 = 24131930231007527
BaseRepresentation
bin1010111100101000101001…
…1001011011101011110000
31120121201010200221102221212
42233022022121123223300
53034202401443124232
641333350000335252
72351426425203452
oct257121231335360
946551120842855
1012036820286192
113920872285899
121424996914528
136940b4a87090
142d8829b622d2
1515d18a6b4eb2
hexaf28a65baf0

12036820286192 has 80 divisors (see below), whose sum is σ = 26445917352960. Its totient is φ = 5261316892416.

The previous prime is 12036820286093. The next prime is 12036820286203. The reversal of 12036820286192 is 29168202863021.

It is a self number, because there is not a number n which added to its sum of digits gives 12036820286192.

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 15 ways as a sum of consecutive naturals, for example, 11443133 + ... + 12450659.

It is an arithmetic number, because the mean of its divisors is an integer number (330573966912).

Almost surely, 212036820286192 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 12036820286192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13222958676480).

12036820286192 is an abundant number, since it is smaller than the sum of its proper divisors (14409097066768).

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

12036820286192 is a wasteful number, since it uses less digits than its factorization.

12036820286192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010590 (or 1010584 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 50.

The spelling of 12036820286192 in words is "twelve trillion, thirty-six billion, eight hundred twenty million, two hundred eighty-six thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1976 3023 3952 6046 12092 24184 39299 48368 57437 78598 114874 157196 229748 314392 459496 628784 746681 918992 1007527 1493362 2015054 2986724 4030108 5973448 8060216 11946896 13097851 16120432 19143013 26195702 38286026 52391404 76572052 104782808 153144104 209565616 248859169 306288208 497718338 995436676 1990873352 3045754121 3981746704 6091508242 12183016484 24366032968 39594803573 48732065936 57869328299 79189607146 115738656598 158379214292 231477313196 316758428584 462954626392 633516857168 752301267887 925909252784 1504602535774 3009205071548 6018410143096 12036820286192