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12839300352 = 28328836311
BaseRepresentation
bin10111111010100100…
…00010110100000000
31020010210102000222200
423331102002310000
5202243330102402
65522010433200
7633112152354
oct137522026400
936123360880
1012839300352
1154994a542a
1225a3a32800
131297cc7958
1489b297464
155022ac21c
hex2fd482d00

12839300352 has 108 divisors (see below), whose sum is σ = 37066664544. Its totient is φ = 4274242560.

The previous prime is 12839300333. The next prime is 12839300381. The reversal of 12839300352 is 25300393821.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2031277 + ... + 2037587.

Almost surely, 212839300352 is an apocalyptic number.

12839300352 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 12839300352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18533332272).

12839300352 is an abundant number, since it is smaller than the sum of its proper divisors (24227364192).

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

12839300352 is an equidigital number, since it uses as much as digits as its factorization.

12839300352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7216 (or 7199 counting only the distinct ones).

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

The spelling of 12839300352 in words is "twelve billion, eight hundred thirty-nine million, three hundred thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 883 1152 1766 2304 2649 3532 5298 6311 7064 7947 10596 12622 14128 15894 18933 21192 25244 28256 31788 37866 42384 50488 56512 56799 63576 75732 84768 100976 113024 113598 127152 151464 169536 201952 226048 227196 254304 302928 339072 403904 454392 508608 605856 678144 807808 908784 1017216 1211712 1615616 1817568 2034432 2423424 3635136 4846848 5572613 7270272 11145226 14540544 16717839 22290452 33435678 44580904 50153517 66871356 89161808 100307034 133742712 178323616 200614068 267485424 356647232 401228136 534970848 713294464 802456272 1069941696 1426588928 1604912544 2139883392 3209825088 4279766784 6419650176 12839300352