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12304369152 = 293598897
BaseRepresentation
bin10110111010110010…
…11100011000000000
31011202111211201100000
423131121130120000
5200144404303102
65352541200000
7613625261235
oct133531343000
934674751300
1012304369152
11524454a729
122474860000
13121123220a
1484a20b78c
154c034401c
hex2dd65c600

12304369152 has 120 divisors (see below), whose sum is σ = 36826846056. Its totient is φ = 4101414912.

The previous prime is 12304369151. The next prime is 12304369153. The reversal of 12304369152 is 25196340321.

It is an interprime number because it is at equal distance from previous prime (12304369151) and next prime (12304369153).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12304369151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74968 + ... + 173864.

Almost surely, 212304369152 is an apocalyptic number.

12304369152 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 12304369152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18413423028).

12304369152 is an abundant number, since it is smaller than the sum of its proper divisors (24522476904).

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

12304369152 is an frugal number, since it uses more digits than its factorization.

12304369152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98930 (or 98902 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 12304369152 in words is "twelve billion, three hundred four million, three hundred sixty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1152 1296 1536 1728 1944 2304 2592 3456 3888 4608 5184 6912 7776 10368 13824 15552 20736 31104 41472 62208 98897 124416 197794 296691 395588 593382 791176 890073 1186764 1582352 1780146 2373528 2670219 3164704 3560292 4747056 5340438 6329408 7120584 8010657 9494112 10680876 12658816 14241168 16021314 18988224 21361752 24031971 25317632 28482336 32042628 37976448 42723504 48063942 50635264 56964672 64085256 75952896 85447008 96127884 113929344 128170512 151905792 170894016 192255768 227858688 256341024 341788032 384511536 455717376 512682048 683576064 769023072 1025364096 1367152128 1538046144 2050728192 3076092288 4101456384 6152184576 12304369152