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20466066402 = 23223731374943
BaseRepresentation
bin10011000011110111…
…110110001111100010
31221211022111220011100
4103003313312033202
5313403303111102
613222454455230
71323111460035
oct230367661742
957738456140
1020466066402
118752619671
123b72064516
131c1210b482
14dc216701c
157ebb2ea1c
hex4c3df63e2

20466066402 has 96 divisors (see below), whose sum is σ = 47256887808. Its totient is φ = 6387752448.

The previous prime is 20466066347. The next prime is 20466066407.

20466066402 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 6 + 0 + 6 + 640 + 2 = 666.

20466066402 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (20466066407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4137943 + ... + 4142885.

It is an arithmetic number, because the mean of its divisors is an integer number (492259248).

Almost surely, 220466066402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20466066402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23628443904).

20466066402 is an abundant number, since it is smaller than the sum of its proper divisors (26790821406).

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

20466066402 is a wasteful number, since it uses less digits than its factorization.

20466066402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5184 (or 5181 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 20466066402 in words is "twenty billion, four hundred sixty-six million, sixty-six thousand, four hundred two".

Divisors: 1 2 3 6 9 18 23 46 69 73 137 138 146 207 219 274 411 414 438 657 822 1233 1314 1679 2466 3151 3358 4943 5037 6302 9453 9886 10001 10074 14829 15111 18906 20002 28359 29658 30003 30222 44487 56718 60006 88974 90009 113689 180018 227378 230023 341067 360839 460046 677191 682134 690069 721678 1023201 1082517 1354382 1380138 2031573 2046402 2070207 2165034 3247551 4063146 4140414 6094719 6495102 8299297 12189438 15575393 16598594 24897891 31150786 46726179 49434943 49795782 74693673 93452358 98869886 140178537 148304829 149387346 280357074 296609658 444914487 889828974 1137003689 2274007378 3411011067 6822022134 10233033201 20466066402