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12201767094832 = 2471812572342033
BaseRepresentation
bin1011000110001111000111…
…1111100100101000110000
31121012110220010110111200121
42301203301333210220300
53044403204334013312
641541225303100024
72366356110015340
oct261436177445060
947173803414617
1012201767094832
113984816475557
12145094b141614
136a6810b4a6b3
143027d664cd20
151625e159d707
hexb18f1fe4a30

12201767094832 has 80 divisors (see below), whose sum is σ = 27273192028992. Its totient is φ = 5180200058880.

The previous prime is 12201767094817. The next prime is 12201767094851. The reversal of 12201767094832 is 23849076710221.

12201767094832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122017670948322 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12201767094832.

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, 4038888 + ... + 6380920.

Almost surely, 212201767094832 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 12201767094832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13636596014496).

12201767094832 is an abundant number, since it is smaller than the sum of its proper divisors (15071424934160).

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

12201767094832 is a wasteful number, since it uses less digits than its factorization.

12201767094832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342486 (or 2342480 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 12201767094832 in words is "twelve trillion, two hundred one billion, seven hundred sixty-seven million, ninety-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 181 257 362 514 724 1028 1267 1448 1799 2056 2534 2896 3598 4112 5068 7196 10136 14392 20272 28784 46517 93034 186068 325619 372136 651238 744272 1302476 2342033 2604952 4684066 5209904 9368132 16394231 18736264 32788462 37472528 65576924 131153848 262307696 423907973 601902481 847815946 1203804962 1695631892 2407609924 2967355811 3391263784 4213317367 4815219848 5934711622 6782527568 8426634734 9630439696 11869423244 16853269468 23738846488 33706538936 47477692976 67413077872 108944349061 217888698122 435777396244 762610443427 871554792488 1525220886854 1743109584976 3050441773708 6100883547416 12201767094832