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20967348534804 = 2233727734588009
BaseRepresentation
bin1001100010001110101110…
…10111000111111000010100
32202020110101120101122022000
410301013113113013320110
510222012112211103204
6112332133354235300
74262561304631560
oct461072727077024
982213346348260
1020967348534804
1167542256a2951
122427742725b30
13b9129ba95269
14526b7a05c6a0
1526561ed29039
hex1311d75c7e14

20967348534804 has 48 divisors (see below), whose sum is σ = 62125477142400. Its totient is φ = 5990671009728.

The previous prime is 20967348534799. The next prime is 20967348534827. The reversal of 20967348534804 is 40843584376902.

20967348534804 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 73 + 4 + 85 + 3 + 480 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13867293249 + ... + 13867294760.

It is an arithmetic number, because the mean of its divisors is an integer number (1294280773800).

Almost surely, 220967348534804 is an apocalyptic number.

It is an amenable number.

20967348534804 is an abundant number, since it is smaller than the sum of its proper divisors (41158128607596).

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

20967348534804 is a wasteful number, since it uses less digits than its factorization.

20967348534804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27734588029 (or 27734588021 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 20967348534804 in words is "twenty trillion, nine hundred sixty-seven billion, three hundred forty-eight million, five hundred thirty-four thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 27734588009 55469176018 83203764027 110938352036 166407528054 194142116063 249611292081 332815056108 388284232126 499222584162 582426348189 748833876243 776568464252 998445168324 1164852696378 1497667752486 1747279044567 2329705392756 2995335504972 3494558089134 5241837133701 6989116178268 10483674267402 20967348534804