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12049331856224 = 25131731143714639
BaseRepresentation
bin1010111101010111010000…
…1001010010001101100000
31120122220102122200001110112
42233111310021102031200
53034404012423344344
641343215302550452
72352351450613145
oct257256411221540
946586378601415
1012049331856224
113926102786613
1214272a8a38428
13695329bc5060
142d92956a83cc
1515d66dcd6c9e
hexaf574252360

12049331856224 has 96 divisors (see below), whose sum is σ = 25698572645760. Its totient is φ = 5528223148032.

The previous prime is 12049331856167. The next prime is 12049331856239. The reversal of 12049331856224 is 42265813394021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823090697 + ... + 823105335.

It is an arithmetic number, because the mean of its divisors is an integer number (267693465060).

Almost surely, 212049331856224 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 12049331856224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12849286322880).

12049331856224 is an abundant number, since it is smaller than the sum of its proper divisors (13649240789536).

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

12049331856224 is a wasteful number, since it uses less digits than its factorization.

12049331856224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26272 (or 26264 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

The spelling of 12049331856224 in words is "twelve trillion, forty-nine billion, three hundred thirty-one million, eight hundred fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 173 208 346 416 692 1384 2249 2768 4498 5536 8996 11437 14639 17992 22874 29278 35984 45748 58556 71968 91496 117112 148681 182992 190307 234224 297362 365984 380614 468448 594724 761228 1189448 1522456 1978601 2378896 2532547 3044912 3957202 4757792 5065094 6089824 7914404 10130188 15828808 20260376 25721813 31657616 32923111 40520752 51443626 63315232 65846222 81041504 102887252 131692444 167426243 205774504 263384888 334852486 411549008 526769776 669704972 823098016 1053539552 1339409944 2176541159 2678819888 4353082318 5357639776 8706164636 17412329272 28964740039 34824658544 57929480078 69649317088 115858960156 231717920312 376541620507 463435840624 753083241014 926871681248 1506166482028 3012332964056 6024665928112 12049331856224