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12118934947648 = 2631322728001
BaseRepresentation
bin1011000001011010100011…
…0100000000011101000000
31120220120002102011110010111
42300112220310000131000
53042024034321311043
641435210054441104
72360364335255014
oct260265064003500
946816072143114
1012118934947648
11395267a924371
121438892963194
1369ba70041259
142dc7b96c2544
1516039464509d
hexb05a8d00740

12118934947648 has 112 divisors (see below), whose sum is σ = 24960464875008. Its totient is φ = 5837959680000.

The previous prime is 12118934947643. The next prime is 12118934947667. The reversal of 12118934947648 is 84674943981121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12118934947643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432789648 + ... + 432817648.

Almost surely, 212118934947648 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 12118934947648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12480232437504).

12118934947648 is an abundant number, since it is smaller than the sum of its proper divisors (12841529927360).

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

12118934947648 is an frugal number, since it uses more digits than its factorization.

12118934947648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28333 (or 28261 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 67.

The spelling of 12118934947648 in words is "twelve trillion, one hundred eighteen billion, nine hundred thirty-four million, nine hundred forty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 227 248 454 496 908 961 992 1816 1922 1984 3632 3844 7037 7264 7688 14074 14528 15376 28001 28148 29791 30752 56002 56296 59582 61504 112004 112592 119164 218147 224008 225184 238328 436294 448016 450368 476656 868031 872588 896032 953312 1736062 1745176 1792064 1906624 3472124 3490352 6356227 6762557 6944248 6980704 12712454 13525114 13888496 13961408 25424908 26908961 27050228 27776992 50849816 53817922 54100456 55553984 101699632 107635844 108200912 197043037 203399264 215271688 216401824 394086074 406798528 430543376 432803648 788172148 834177791 861086752 1576344296 1668355582 1722173504 3152688592 3336711164 6108334147 6305377184 6673422328 12216668294 12610754368 13346844656 24433336588 26693689312 48866673176 53387378624 97733346352 189358358557 195466692704 378716717114 390933385408 757433434228 1514866868456 3029733736912 6059467473824 12118934947648