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12533304042 = 2337291143341
BaseRepresentation
bin10111010110000101…
…10000101011101010
31012100110121210222000
423223002300223222
5201132011212132
65431400111430
7622405220010
oct135302605352
935313553860
1012533304042
1153517a5916
122519465576
1312497aa74c
1486c7a28b0
154d54b687c
hex2eb0b0aea

12533304042 has 64 divisors (see below), whose sum is σ = 32928249600. Its totient is φ = 3457460160.

The previous prime is 12533304037. The next prime is 12533304073. The reversal of 12533304042 is 24040333521.

12533304042 is a `hidden beast` number, since 1 + 253 + 3 + 3 + 0 + 404 + 2 = 666.

12533304042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×125333040423 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12533303997 and 12533304015.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 560709 + ... + 582632.

It is an arithmetic number, because the mean of its divisors is an integer number (514503900).

Almost surely, 212533304042 is an apocalyptic number.

12533304042 is an abundant number, since it is smaller than the sum of its proper divisors (20394945558).

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

12533304042 is a wasteful number, since it uses less digits than its factorization.

12533304042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143388 (or 1143382 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 12533304042 its reverse (24040333521), we get a palindrome (36573637563).

The spelling of 12533304042 in words is "twelve billion, five hundred thirty-three million, three hundred four thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 87 126 174 189 203 261 378 406 522 609 783 1218 1566 1827 3654 5481 10962 1143341 2286682 3430023 6860046 8003387 10290069 16006774 20580138 24010161 30870207 33156889 48020322 61740414 66313778 72030483 99470667 144060966 198941334 216091449 232098223 298412001 432182898 464196446 596824002 696294669 895236003 1392589338 1790472006 2088884007 4177768014 6266652021 12533304042