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12304618944 = 2631993071049
BaseRepresentation
bin10110111010110100…
…11001010111000000
31011202112022101222120
423131122121113000
5200144440301234
65352550404240
7613630351422
oct133532312700
934675271876
1012304618944
115244700372
122474960680
1312112bbb17
1484a274812
154c0393049
hex2dd6995c0

12304618944 has 112 divisors (see below), whose sum is σ = 32857440000. Its totient is φ = 4063758336.

The previous prime is 12304618919. The next prime is 12304618961. The reversal of 12304618944 is 44981640321.

12304618944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12304618896 and 12304618905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11729332 + ... + 11730380.

It is an arithmetic number, because the mean of its divisors is an integer number (293370000).

Almost surely, 212304618944 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 12304618944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16428720000).

12304618944 is an abundant number, since it is smaller than the sum of its proper divisors (20552821056).

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

12304618944 is a wasteful number, since it uses less digits than its factorization.

12304618944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 12304618944 in words is "twelve billion, three hundred four million, six hundred eighteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 199 307 398 597 614 796 921 1049 1194 1228 1592 1842 2098 2388 2456 3147 3184 3684 4196 4776 4912 6294 6368 7368 8392 9552 9824 12588 12736 14736 16784 19104 19648 25176 29472 33568 38208 50352 58944 61093 67136 100704 122186 183279 201408 208751 244372 322043 366558 417502 488744 626253 644086 733116 835004 966129 977488 1252506 1288172 1466232 1670008 1932258 1954976 2505012 2576344 2932464 3340016 3864516 3909952 5010024 5152688 5864928 6680032 7729032 10020048 10305376 11729856 13360064 15458064 20040096 20610752 30916128 40080192 61832256 64086557 128173114 192259671 256346228 384519342 512692456 769038684 1025384912 1538077368 2050769824 3076154736 4101539648 6152309472 12304618944