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21946664912 = 2461101251887
BaseRepresentation
bin10100011100000111…
…111000011111010000
32002122111112002111012
4110130013320133100
5324421321234122
614025425110052
71404600400544
oct243407703720
962574462435
1021946664912
1193423581a7
124305a88328
1320b9a99873
1410c2a59a24
15886ae57e2
hex51c1f87d0

21946664912 has 80 divisors (see below), whose sum is σ = 43869942144. Its totient is φ = 10632000000.

The previous prime is 21946664893. The next prime is 21946664933.

21946664912 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×219466649122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24742133 + ... + 24743019.

Almost surely, 221946664912 is an apocalyptic number.

It is an amenable number.

21946664912 is a deficient number, since it is larger than the sum of its proper divisors (21923277232).

21946664912 is a wasteful number, since it uses less digits than its factorization.

21946664912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1302 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 50.

The spelling of 21946664912 in words is "twenty-one billion, nine hundred forty-six million, six hundred sixty-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 61 101 122 202 244 251 404 488 502 808 887 976 1004 1616 1774 2008 3548 4016 6161 7096 12322 14192 15311 24644 25351 30622 49288 50702 54107 61244 89587 98576 101404 108214 122488 179174 202808 216428 222637 244976 358348 405616 432856 445274 716696 865712 890548 1433392 1546411 1781096 3092822 3562192 5464807 6185644 10929614 12371288 13580857 21859228 22486337 24742576 27161714 43718456 44972674 54323428 87436912 89945348 108646856 179890696 217293712 359781392 1371666557 2743333114 5486666228 10973332456 21946664912