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13204565665056 = 25321716671617883
BaseRepresentation
bin1100000000100110110101…
…1100100010010100100000
31201202100021212220000210200
43000021231130202110200
53212320422302240211
644030032124425200
72531666306146263
oct300115534422440
951670255800720
1013204565665056
1142310300916a7
1215931723a8200
1374a253b6273c
14339166626cda
1517d73386ab56
hexc026d722520

13204565665056 has 144 divisors (see below), whose sum is σ = 39783211007904. Its totient is φ = 4140121208832.

The previous prime is 13204565665037. The next prime is 13204565665091. The reversal of 13204565665056 is 65056656540231.

13204565665056 is a `hidden beast` number, since 1 + 3 + 20 + 4 + 5 + 6 + 566 + 5 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 13204565664993 and 13204565665011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7352691 + ... + 8970573.

It is an arithmetic number, because the mean of its divisors is an integer number (276272298666).

Almost surely, 213204565665056 is an apocalyptic number.

13204565665056 is a gapful number since it is divisible by the number (16) 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 13204565665056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19891605503952).

13204565665056 is an abundant number, since it is smaller than the sum of its proper divisors (26578645342848).

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

13204565665056 is a wasteful number, since it uses less digits than its factorization.

13204565665056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619583 (or 1619572 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 13204565665056 in words is "thirteen trillion, two hundred four billion, five hundred sixty-five million, six hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 1667 2448 3334 4896 5001 6668 10002 13336 15003 20004 26672 28339 30006 40008 53344 56678 60012 80016 85017 113356 120024 160032 170034 226712 240048 255051 340068 453424 480096 510102 680136 906848 1020204 1360272 1617883 2040408 2720544 3235766 4080816 4853649 6471532 8161632 9707298 12943064 14560947 19414596 25886128 27504011 29121894 38829192 51772256 55008022 58243788 77658384 82512033 110016044 116487576 155316768 165024066 220032088 232975152 247536099 330048132 440064176 465950304 495072198 660096264 880128352 990144396 1320192528 1980288792 2640385056 2697010961 3960577584 5394021922 7921155168 8091032883 10788043844 16182065766 21576087688 24273098649 32364131532 43152175376 45849186337 48546197298 64728263064 86304350752 91698372674 97092394596 129456526128 137547559011 183396745348 194184789192 258913052256 275095118022 366793490696 388369578384 412642677033 550190236044 733586981392 776739156768 825285354066 1100380472088 1467173962784 1650570708132 2200760944176 3301141416264 4401521888352 6602282832528 13204565665056