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12489574464 = 263312175939
BaseRepresentation
bin10111010000110111…
…11100100001000000
31012020102100010021000
423220123330201000
5201034312340324
65423154532000
7621334426353
oct135033744100
935212303230
1012489574464
11532a048174
122506897000
131240709463
14866a5c29a
154d17299c9
hex2e86fc840

12489574464 has 112 divisors (see below), whose sum is σ = 36753393600. Its totient is φ = 4159070208.

The previous prime is 12489574451. The next prime is 12489574481. The reversal of 12489574464 is 46447598421.

12489574464 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 9 + 574 + 4 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12489574464.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2100007 + ... + 2105945.

It is an arithmetic number, because the mean of its divisors is an integer number (328155300).

Almost surely, 212489574464 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 12489574464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18376696800).

12489574464 is an abundant number, since it is smaller than the sum of its proper divisors (24263819136).

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

12489574464 is a wasteful number, since it uses less digits than its factorization.

12489574464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7177 (or 7161 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 12489574464 in words is "twelve billion, four hundred eighty-nine million, five hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1217 1728 2434 3651 4868 5939 7302 9736 10953 11878 14604 17817 19472 21906 23756 29208 32859 35634 38944 43812 47512 53451 58416 65718 71268 77888 87624 95024 106902 116832 131436 142536 160353 175248 190048 213804 233664 262872 285072 320706 350496 380096 427608 525744 570144 641412 700992 855216 1051488 1140288 1282824 1710432 2102976 2565648 3420864 5131296 7227763 10262592 14455526 21683289 28911052 43366578 57822104 65049867 86733156 115644208 130099734 173466312 195149601 231288416 260199468 346932624 390299202 462576832 520398936 693865248 780598404 1040797872 1387730496 1561196808 2081595744 3122393616 4163191488 6244787232 12489574464