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20671820514 = 2331726385621
BaseRepresentation
bin10011010000001000…
…101111001011100010
31222100122200021202000
4103100020233023202
5314313441224024
613255124504430
71331160401202
oct232010571342
958318607660
1020671820514
118848781794
12400ab4b116
131c4592b877
141001606402
1580ec23cc9
hex4d022f2e2

20671820514 has 64 divisors (see below), whose sum is σ = 48825089280. Its totient is φ = 6460542720.

The previous prime is 20671820459. The next prime is 20671820563. The reversal of 20671820514 is 41502817602.

20671820514 is a `hidden beast` number, since 2 + 0 + 67 + 1 + 82 + 0 + 514 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198624 + ... + 284244.

It is an arithmetic number, because the mean of its divisors is an integer number (762892020).

Almost surely, 220671820514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20671820514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24412544640).

20671820514 is an abundant number, since it is smaller than the sum of its proper divisors (28153268766).

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

20671820514 is a wasteful number, since it uses less digits than its factorization.

20671820514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85912 (or 85906 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 20671820514 in words is "twenty billion, six hundred seventy-one million, eight hundred twenty thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 263 306 459 526 789 918 1578 2367 4471 4734 7101 8942 13413 14202 26826 40239 80478 85621 120717 171242 241434 256863 513726 770589 1455557 1541178 2311767 2911114 4366671 4623534 8733342 13100013 22518323 26200026 39300039 45036646 67554969 78600078 135109938 202664907 382811491 405329814 607994721 765622982 1148434473 1215989442 2296868946 3445303419 6890606838 10335910257 20671820514