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21032050506264 = 23327220692881327
BaseRepresentation
bin1001100100000111001111…
…11001100011101000011000
32202110122101202120100022100
410302003213321203220120
510224042114412200024
6112421553550123400
74300341550415100
oct462034771435030
982418352510270
1021032050506264
11677970822a736
12243819b1b0560
13b974106c3685
14529d57194200
1526715a2637c9
hex1320e7e63a18

21032050506264 has 144 divisors (see below), whose sum is σ = 66293738690400. Its totient is φ = 6006250825344.

The previous prime is 21032050506139. The next prime is 21032050506277. The reversal of 21032050506264 is 46260505023012.

21032050506264 is a `hidden beast` number, since 2 + 1 + 0 + 3 + 20 + 5 + 0 + 5 + 0 + 626 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5858769 + ... + 8740095.

It is an arithmetic number, because the mean of its divisors is an integer number (460373185350).

Almost surely, 221032050506264 is an apocalyptic number.

21032050506264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21032050506264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33146869345200).

21032050506264 is an abundant number, since it is smaller than the sum of its proper divisors (45261688184136).

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

21032050506264 is a wasteful number, since it uses less digits than its factorization.

21032050506264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883422 (or 2883408 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 21032050506264 its reverse (46260505023012), we get a palindrome (67292555529276).

The spelling of 21032050506264 in words is "twenty-one trillion, thirty-two billion, fifty million, five hundred six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 2069 3528 4138 6207 8276 12414 14483 16552 18621 24828 28966 37242 43449 49656 57932 74484 86898 101381 115864 130347 148968 173796 202762 260694 304143 347592 405524 521388 608286 811048 912429 1042776 1216572 1824858 2433144 2881327 3649716 5762654 7299432 8643981 11525308 17287962 20169289 23050616 25931943 34575924 40338578 51863886 60507867 69151848 80677156 103727772 121015734 141185023 161354312 181523601 207455544 242031468 282370046 363047202 423555069 484062936 564740092 726094404 847110138 1129480184 1270665207 1452188808 1694220276 2541330414 3388440552 5082660828 5961465563 10165321656 11922931126 17884396689 23845862252 35768793378 41730258941 47691724504 53653190067 71537586756 83460517882 107306380134 125190776823 143075173512 166921035764 214612760268 250381553646 292111812587 333842071528 375572330469 429225520536 500763107292 584223625174 751144660938 876335437761 1001526214584 1168447250348 1502289321876 1752670875522 2336894500696 2629006313283 3004578643752 3505341751044 5258012626566 7010683502088 10516025253132 21032050506264