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21046650066 = 23413232914983
BaseRepresentation
bin10011100110011110…
…100110010011010010
32000022202222121020000
4103212132212103102
5321100420300231
613400234430430
71343361400551
oct234636462322
960282877200
1021046650066
118a20315782
1240b4592416
131ca54994c0
1410392d7d98
15832ab46e6
hex4e67a64d2

21046650066 has 160 divisors (see below), whose sum is σ = 54827055360. Its totient is φ = 5980334976.

The previous prime is 21046650049. The next prime is 21046650073. The reversal of 21046650066 is 66005664012.

It is a happy number.

It is a super-2 number, since 2×210466500662 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 21046650066.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1397211 + ... + 1412193.

It is an arithmetic number, because the mean of its divisors is an integer number (342669096).

Almost surely, 221046650066 is an apocalyptic number.

21046650066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21046650066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27413527680).

21046650066 is an abundant number, since it is smaller than the sum of its proper divisors (33780405294).

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

21046650066 is a wasteful number, since it uses less digits than its factorization.

21046650066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15062 (or 15053 counting only the distinct ones).

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

The spelling of 21046650066 in words is "twenty-one billion, forty-six million, six hundred fifty thousand, sixty-six".

Divisors: 1 2 3 6 9 13 18 23 26 27 29 39 46 54 58 69 78 81 87 117 138 162 174 207 234 261 299 351 377 414 522 598 621 667 702 754 783 897 1053 1131 1242 1334 1566 1794 1863 2001 2106 2262 2349 2691 3393 3726 4002 4698 5382 6003 6786 8073 8671 10179 12006 14983 16146 17342 18009 20358 24219 26013 29966 30537 36018 44949 48438 52026 54027 61074 78039 89898 108054 134847 156078 194779 234117 269694 344609 389558 404541 434507 468234 584337 689218 702351 809082 869014 1033827 1168674 1213623 1303521 1404702 1753011 2067654 2427246 2607042 3101481 3506022 3910563 4479917 5259033 5648591 6202962 7821126 8959834 9304443 9993661 10518066 11297182 11731689 13439751 15777099 16945773 18608886 19987322 23463378 26879502 27913329 29980983 31554198 33891546 35195067 40319253 50837319 55826658 59961966 70390134 80638506 89942949 101674638 120957759 129917593 152511957 179885898 241915518 259835186 269828847 305023914 362873277 389752779 457535871 539657694 725746554 779505558 809486541 915071742 1169258337 1618973082 2338516674 3507775011 7015550022 10523325033 21046650066