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12874208844 = 22372296112377
BaseRepresentation
bin10111111110101110…
…01101011001001100
31020020020002120102210
423333113031121030
5202331244140334
65525254550420
7634014653400
oct137727153114
936206076383
1012874208844
115507178722
1225b3668410
1312a22cab73
148a1b83100
155053a55e9
hex2ff5cd64c

12874208844 has 144 divisors (see below), whose sum is σ = 36744835680. Its totient is φ = 3493002240.

The previous prime is 12874208827. The next prime is 12874208849. The reversal of 12874208844 is 44880247821.

It is a junction number, because it is equal to n+sod(n) for n = 12874208793 and 12874208802.

It is not an unprimeable number, because it can be changed into a prime (12874208849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1033984 + ... + 1046360.

It is an arithmetic number, because the mean of its divisors is an integer number (255172470).

Almost surely, 212874208844 is an apocalyptic number.

12874208844 is a gapful number since it is divisible by the number (14) 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 12874208844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18372417840).

12874208844 is an abundant number, since it is smaller than the sum of its proper divisors (23870626836).

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

12874208844 is a wasteful number, since it uses less digits than its factorization.

12874208844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12488 (or 12479 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 48.

The spelling of 12874208844 in words is "twelve billion, eight hundred seventy-four million, two hundred eight thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 61 84 87 98 116 122 147 174 183 196 203 244 294 348 366 406 427 588 609 732 812 854 1218 1281 1421 1708 1769 2436 2562 2842 2989 3538 4263 5124 5307 5684 5978 7076 8526 8967 10614 11956 12377 12383 17052 17934 21228 24754 24766 35868 37131 37149 49508 49532 74262 74298 86639 86681 148524 148596 173278 173362 259917 260043 346556 346724 358933 519834 520086 606473 717866 754997 1039668 1040172 1076799 1212946 1435732 1509994 1819419 2153598 2264991 2425892 2512531 3019988 3638838 4307196 4529982 5025062 5284979 7277676 7537593 9059964 10050124 10569958 15075186 15854937 17587717 21139916 21894913 30150372 31709874 35175434 36994853 43789826 52763151 63419748 65684739 70350868 73989706 87579652 105526302 110984559 131369478 147979412 153264391 211052604 221969118 262738956 306528782 443938236 459793173 613057564 919586346 1072850737 1839172692 2145701474 3218552211 4291402948 6437104422 12874208844