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12305251504 = 2471319444811
BaseRepresentation
bin10110111010111001…
…10011110010110000
31011202120111112200201
423131130303302300
5200200121022004
65353012124544
7613635624550
oct133534636260
934676445621
1012305251504
115244aa2647
122475006754
131211480a10
1484a39b160
154c046a6a4
hex2dd733cb0

12305251504 has 80 divisors (see below), whose sum is σ = 30887745280. Its totient is φ = 4611790080.

The previous prime is 12305251429. The next prime is 12305251513. The reversal of 12305251504 is 40515250321.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 15 ways as a sum of consecutive naturals, for example, 194742 + ... + 250069.

It is an arithmetic number, because the mean of its divisors is an integer number (386096816).

Almost surely, 212305251504 is an apocalyptic number.

12305251504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12305251504 is an abundant number, since it is smaller than the sum of its proper divisors (18582493776).

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

12305251504 is a wasteful number, since it uses less digits than its factorization.

12305251504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444858 (or 444852 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 12305251504 in words is "twelve billion, three hundred five million, two hundred fifty-one thousand, five hundred four".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 91 104 112 133 152 182 208 247 266 304 364 494 532 728 988 1064 1456 1729 1976 2128 3458 3952 6916 13832 27664 444811 889622 1779244 3113677 3558488 5782543 6227354 7116976 8451409 11565086 12454708 16902818 23130172 24909416 33805636 40477801 46260344 49818832 59159863 67611272 80955602 92520688 109868317 118319726 135222544 161911204 219736634 236639452 323822408 439473268 473278904 647644816 769078219 878946536 946557808 1538156438 1757893072 3076312876 6152625752 12305251504