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12561550056 = 23321123368071
BaseRepresentation
bin10111011001011101…
…00000101011101000
31012102102202212012200
423230232200223220
5201211224100211
65434245340200
7623200261626
oct135456405350
935372685180
1012561550056
115366738530
122526a07660
1312525ba273
14872436516
154d7be5b56
hex2ecba0ae8

12561550056 has 96 divisors (see below), whose sum is σ = 37273504320. Its totient is φ = 3790137600.

The previous prime is 12561550051. The next prime is 12561550103. The reversal of 12561550056 is 65005516521.

12561550056 is a `hidden beast` number, since 1 + 2 + 56 + 1 + 550 + 0 + 56 = 666.

12561550056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12561550056.

It is not an unprimeable number, because it can be changed into a prime (12561550051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150501 + ... + 218571.

It is an arithmetic number, because the mean of its divisors is an integer number (388265670).

Almost surely, 212561550056 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 12561550056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18636752160).

12561550056 is an abundant number, since it is smaller than the sum of its proper divisors (24711954264).

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

12561550056 is a wasteful number, since it uses less digits than its factorization.

12561550056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68327 (or 68320 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 12561550056 in words is "twelve billion, five hundred sixty-one million, five hundred fifty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 233 264 396 466 699 792 932 1398 1864 2097 2563 2796 4194 5126 5592 7689 8388 10252 15378 16776 20504 23067 30756 46134 61512 68071 92268 136142 184536 204213 272284 408426 544568 612639 748781 816852 1225278 1497562 1633704 2246343 2450556 2995124 4492686 4901112 5990248 6739029 8985372 13478058 15860543 17970744 26956116 31721086 47581629 53912232 63442172 95163258 126884344 142744887 174465973 190326516 285489774 348931946 380653032 523397919 570979548 697863892 1046795838 1141959096 1395727784 1570193757 2093591676 3140387514 4187183352 6280775028 12561550056