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20064665610 = 232511183111069
BaseRepresentation
bin10010101011111100…
…101000000000001010
31220210100012121210100
4102223330220000022
5312043023244420
613114555230230
71310135562243
oct225374500012
956710177710
1020064665610
118566a87280
123a7b748376
131b79bc9402
14d84b19cca
157c6791190
hex4abf2800a

20064665610 has 96 divisors (see below), whose sum is σ = 56946913920. Its totient is φ = 4861065600.

The previous prime is 20064665591. The next prime is 20064665639. The reversal of 20064665610 is 1656646002.

It is a happy number.

20064665610 is a `hidden beast` number, since 2 + 0 + 0 + 646 + 6 + 5 + 6 + 1 + 0 = 666.

It is a super-2 number, since 2×200646656102 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1807156 + ... + 1818224.

It is an arithmetic number, because the mean of its divisors is an integer number (593197020).

Almost surely, 220064665610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20064665610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28473456960).

20064665610 is an abundant number, since it is smaller than the sum of its proper divisors (36882248310).

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

20064665610 is a wasteful number, since it uses less digits than its factorization.

20064665610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12924 (or 12921 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

It can be divided in two parts, 200646 and 65610, that added together give a square (266256 = 5162).

The spelling of 20064665610 in words is "twenty billion, sixty-four million, six hundred sixty-five thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1831 3662 5493 9155 10986 11069 16479 18310 20141 22138 27465 32958 33207 40282 54930 55345 60423 66414 82395 99621 100705 110690 120846 121759 164790 166035 181269 199242 201410 243518 302115 332070 362538 365277 498105 604230 608795 730554 906345 996210 1095831 1217590 1812690 1826385 2191662 3652770 5479155 10958310 20267339 40534678 60802017 101336695 121604034 182406051 202673390 222940729 304010085 364812102 445881458 608020170 668822187 912030255 1114703645 1337644374 1824060510 2006466561 2229407290 3344110935 4012933122 6688221870 10032332805 20064665610