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12926078946 = 23211531916449
BaseRepresentation
bin11000000100111010…
…00100111111100010
31020100211200211211200
430002131010333202
5202433034011241
65534350422030
7635214600234
oct140235047742
936324624750
1012926078946
115533486480
122608b01916
1312acc8c531
148a8a06254
15509bee4b6
hex302744fe2

12926078946 has 96 divisors (see below), whose sum is σ = 31296844800. Its totient is φ = 3822374400.

The previous prime is 12926078909. The next prime is 12926078951. The reversal of 12926078946 is 64987062921.

12926078946 is a `hidden beast` number, since 1 + 29 + 2 + 607 + 8 + 9 + 4 + 6 = 666.

12926078946 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12926078892 and 12926078901.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2001130 + ... + 2007578.

It is an arithmetic number, because the mean of its divisors is an integer number (326008800).

Almost surely, 212926078946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12926078946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15648422400).

12926078946 is an abundant number, since it is smaller than the sum of its proper divisors (18370765854).

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

12926078946 is a wasteful number, since it uses less digits than its factorization.

12926078946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6712 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 12926078946 in words is "twelve billion, nine hundred twenty-six million, seventy-eight thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 191 198 318 382 477 573 583 954 1146 1166 1719 1749 2101 3438 3498 4202 5247 6303 6449 10123 10494 12606 12898 18909 19347 20246 30369 37818 38694 58041 60738 70939 91107 111353 116082 141878 182214 212817 222706 334059 341797 425634 638451 668118 683594 1002177 1025391 1231759 1276902 2004354 2050782 2463518 3076173 3695277 3759767 6152346 7390554 7519534 11085831 11279301 13549349 22171662 22558602 27098698 33837903 40648047 65283227 67675806 81296094 121944141 130566454 195849681 243888282 391699362 587549043 718115497 1175098086 1436230994 2154346491 4308692982 6463039473 12926078946