Search a number
-
+
12804601032 = 23322314935179
BaseRepresentation
bin10111110110011011…
…01011010011001000
31020001101010010110200
423323031223103020
5202210434213112
65514331012200
7632211212226
oct137315532310
936041103420
1012804601032
115480955303
12259429a060
131290a68a02
14896823b16
154ee205cdc
hex2fb36b4c8

12804601032 has 96 divisors (see below), whose sum is σ = 36218145600. Its totient is φ = 4079104128.

The previous prime is 12804601027. The next prime is 12804601099. The reversal of 12804601032 is 23010640821.

12804601032 is a `hidden beast` number, since 1 + 28 + 0 + 4 + 601 + 0 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12804600987 and 12804601005.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2469819 + ... + 2474997.

It is an arithmetic number, because the mean of its divisors is an integer number (377272350).

Almost surely, 212804601032 is an apocalyptic number.

12804601032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12804601032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18109072800).

12804601032 is an abundant number, since it is smaller than the sum of its proper divisors (23413544568).

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

12804601032 is a wasteful number, since it uses less digits than its factorization.

12804601032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6707 (or 6700 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 12804601032 in words is "twelve billion, eight hundred four million, six hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1493 1656 2986 4479 5179 5972 8958 10358 11944 13437 15537 17916 20716 26874 31074 34339 35832 41432 46611 53748 62148 68678 93222 103017 107496 119117 124296 137356 186444 206034 238234 274712 309051 357351 372888 412068 476468 618102 714702 824136 952936 1072053 1236204 1429404 2144106 2472408 2858808 4288212 7732247 8576424 15464494 23196741 30928988 46393482 61857976 69590223 92786964 139180446 177841681 185573928 278360892 355683362 533525043 556721784 711366724 1067050086 1422733448 1600575129 2134100172 3201150258 4268200344 6402300516 12804601032