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21676020012 = 22333124572
BaseRepresentation
bin10100001011111111…
…011101000100101100
32001221122020220111000
4110023333131010230
5323343030120022
613542520200300
71365103062423
oct241377350454
961848226430
1021676020012
119213603729
12424b309090
1320759a935a
141098b282ba
1586ce846ac
hex50bfdd12c

21676020012 has 108 divisors (see below), whose sum is σ = 58195718280. Its totient is φ = 6976964160.

The previous prime is 21676020011. The next prime is 21676020031. The reversal of 21676020012 is 21002067612.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21676020011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47430888 + ... + 47431344.

Almost surely, 221676020012 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 21676020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29097859140).

21676020012 is an abundant number, since it is smaller than the sum of its proper divisors (36519698268).

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

21676020012 is an equidigital number, since it uses as much as digits as its factorization.

21676020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Multiplying 21676020012 by its sum of digits (27), we get a square (585252540324 = 7650182).

21676020012 divided by its sum of digits (27) gives a square (802815556 = 283342).

Adding to 21676020012 its reverse (21002067612), we get a palindrome (42678087624).

The spelling of 21676020012 in words is "twenty-one billion, six hundred seventy-six million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 457 558 837 914 961 1116 1371 1674 1828 1922 2742 2883 3348 3844 4113 5484 5766 8226 8649 11532 12339 14167 16452 17298 24678 25947 28334 34596 42501 49356 51894 56668 85002 103788 127503 170004 208849 255006 382509 417698 439177 510012 626547 765018 835396 878354 1253094 1317531 1530036 1756708 1879641 2506188 2635062 3759282 3952593 5270124 5638923 6474319 7518564 7905186 11277846 11857779 12948638 15810372 19422957 22555692 23715558 25897276 38845914 47431116 58268871 77691828 116537742 174806613 200703889 233075484 349613226 401407778 602111667 699226452 802815556 1204223334 1806335001 2408446668 3612670002 5419005003 7225340004 10838010006 21676020012