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12505621428 = 2234211182927
BaseRepresentation
bin10111010010110010…
…01010001110110100
31012021112112101120000
423221121022032310
5201102414341203
65424530511300
7621621012456
oct135131121664
935245471500
1012505621428
115338108523
122510135530
131243b374c1
14868c382d6
154d2d494a3
hex2e964a3b4

12505621428 has 60 divisors (see below), whose sum is σ = 32847283392. Its totient is φ = 4148761680.

The previous prime is 12505621421. The next prime is 12505621439. The reversal of 12505621428 is 82412650521.

12505621428 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 5 + 621 + 4 + 28 = 666.

12505621428 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 junction number, because it is equal to n+sod(n) for n = 12505621392 and 12505621401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12505621421) 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 19 ways as a sum of consecutive naturals, for example, 23100 + ... + 159827.

Almost surely, 212505621428 is an apocalyptic number.

12505621428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12505621428 is an abundant number, since it is smaller than the sum of its proper divisors (20341661964).

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

12505621428 is a wasteful number, since it uses less digits than its factorization.

12505621428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183154 (or 183143 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 12505621428 in words is "twelve billion, five hundred five million, six hundred twenty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 211 324 422 633 844 1266 1899 2532 3798 5697 7596 11394 17091 22788 34182 68364 182927 365854 548781 731708 1097562 1646343 2195124 3292686 4939029 6585372 9878058 14817087 19756116 29634174 38597597 59268348 77195194 115792791 154390388 231585582 347378373 463171164 694756746 1042135119 1389513492 2084270238 3126405357 4168540476 6252810714 12505621428