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12747504128 = 291759103241
BaseRepresentation
bin10111101111100111…
…10111101000000000
31012220101200022020112
423313303313220000
5202101330113003
65504531130452
7630615666032
oct136763675000
935811608215
1012747504128
1154516a7587
122579143a28
131281c97268
1488cdddc52
154e91c83d8
hex2f7cf7a00

12747504128 has 160 divisors (see below), whose sum is σ = 27806613120. Its totient is φ = 5815664640.

The previous prime is 12747504127. The next prime is 12747504137. The reversal of 12747504128 is 82140574721.

It is a super-2 number, since 2×127475041282 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12747504127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52894088 + ... + 52894328.

It is an arithmetic number, because the mean of its divisors is an integer number (173791332).

Almost surely, 212747504128 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 12747504128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13903306560).

12747504128 is an abundant number, since it is smaller than the sum of its proper divisors (15059108992).

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

12747504128 is a wasteful number, since it uses less digits than its factorization.

12747504128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 41.

The spelling of 12747504128 in words is "twelve billion, seven hundred forty-seven million, five hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 59 64 68 103 118 128 136 206 236 241 256 272 412 472 482 512 544 824 944 964 1003 1088 1648 1751 1888 1928 2006 2176 3296 3502 3776 3856 4012 4097 4352 6077 6592 7004 7552 7712 8024 8194 8704 12154 13184 14008 14219 15104 15424 16048 16388 24308 24823 26368 28016 28438 30208 30848 32096 32776 48616 49646 52736 56032 56876 61696 64192 65552 97232 99292 103309 112064 113752 123392 128384 131104 194464 198584 206618 224128 227504 241723 256768 262208 388928 397168 413236 421991 448256 455008 483446 513536 524416 777856 794336 826472 843982 896512 910016 966892 1048832 1464557 1555712 1588672 1652944 1687964 1820032 1933784 2097664 2929114 3111424 3177344 3305888 3375928 3640064 3867568 5858228 6354688 6611776 6751856 7280128 7735136 11716456 12709376 13223552 13503712 15470272 23432912 24897469 26447104 27007424 30940544 46865824 49794938 52894208 54014848 61881088 93731648 99589876 108029696 123762176 187463296 199179752 216059392 374926592 398359504 749853184 796719008 1593438016 3186876032 6373752064 12747504128