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12063537944276 = 22721329370944017
BaseRepresentation
bin1010111110001100001011…
…1001001101011011010100
31120201021002200221002200212
42233203002321031123110
53040122111203204101
641353525100424552
72353363500433400
oct257430271153324
946637080832625
1012063537944276
113931132745855
121429bb2548158
13696782110310
142d9c422aa100
1515dc010781bb
hexaf8c2e4d6d4

12063537944276 has 144 divisors (see below), whose sum is σ = 27366950192400. Its totient is φ = 4606476521472.

The previous prime is 12063537944231. The next prime is 12063537944299. The reversal of 12063537944276 is 67244973536021.

It can be written as a sum of positive squares in 8 ways, for example, as 264134323600 + 11799403620676 = 513940^2 + 3435026^2 .

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 274043420 + ... + 274087436.

It is an arithmetic number, because the mean of its divisors is an integer number (190048265225).

Almost surely, 212063537944276 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 12063537944276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13683475096200).

12063537944276 is an abundant number, since it is smaller than the sum of its proper divisors (15303412248124).

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

12063537944276 is a wasteful number, since it uses less digits than its factorization.

12063537944276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47786 (or 47777 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 59.

The spelling of 12063537944276 in words is "twelve trillion, sixty-three billion, five hundred thirty-seven million, nine hundred forty-four thousand, two hundred seventy-six".

Divisors: 1 2 4 7 13 14 26 28 29 49 52 58 91 98 116 182 196 203 364 377 406 637 754 812 1274 1421 1508 2548 2639 2842 3709 5278 5684 7418 10556 14836 18473 25963 36946 44017 48217 51926 73892 88034 96434 103852 107561 176068 181741 192868 215122 308119 337519 363482 430244 572221 616238 675038 726964 752927 1144442 1232476 1276493 1350076 1398293 1505854 2156833 2288884 2362633 2552986 2796586 3011708 4005547 4313666 4725266 5105972 5270489 5593172 8011094 8627332 8935451 9450532 9788051 10540978 16022188 16594409 17870902 19576102 21081956 28038829 33188818 35741804 39152204 56077658 62548157 66377636 68516357 112155316 116160863 125096314 137032714 163259053 232321726 250192628 274065428 326518106 464643452 653036212 813126041 1142813371 1626252082 2122367689 2285626742 3252504164 4244735378 4571253484 4734512537 7999693597 8489470756 9469025074 14856573823 15999387194 18938050148 29713147646 31998774388 33141587759 59426295292 61548662981 66283175518 103996016761 123097325962 132566351036 207992033522 231991114313 246194651924 415984067044 430840640867 463982228626 861681281734 927964457252 1723362563468 3015884486069 6031768972138 12063537944276