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21210057666 = 23271077871999
BaseRepresentation
bin10011110000001101…
…111100101111000010
32000202011110120022100
4103300031330233002
5321414233321131
613424353051230
71350414341550
oct236015745702
960664416270
1021210057666
118aa4585286
12413b256b16
1320002b0ca5
141052cb2bd0
158420e17e6
hex4f037cbc2

21210057666 has 96 divisors (see below), whose sum is σ = 53104896000. Its totient is φ = 5992753248.

The previous prime is 21210057619. The next prime is 21210057689. The reversal of 21210057666 is 66675001212.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 21210057666.

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, 10609335 + ... + 10611333.

It is an arithmetic number, because the mean of its divisors is an integer number (553176000).

Almost surely, 221210057666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210057666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26552448000).

21210057666 is an abundant number, since it is smaller than the sum of its proper divisors (31894838334).

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

21210057666 is a wasteful number, since it uses less digits than its factorization.

21210057666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 21210057666 its reverse (66675001212), we get a palindrome (87885058878).

The spelling of 21210057666 in words is "twenty-one billion, two hundred ten million, fifty-seven thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 214 321 642 749 787 963 1498 1574 1926 1999 2247 2361 3998 4494 4722 5509 5997 6741 7083 11018 11994 13482 13993 14166 16527 17991 27986 33054 35982 41979 49581 83958 84209 99162 125937 168418 213893 251874 252627 427786 505254 589463 641679 757881 1178926 1283358 1497251 1515762 1573213 1768389 1925037 2994502 3146426 3536778 3850074 4491753 4719639 5305167 8983506 9439278 10610334 11012491 13475259 14158917 22024982 26950518 28317834 33037473 66074946 99112419 168333791 198224838 336667582 505001373 1010002746 1178336537 1515004119 2356673074 3030008238 3535009611 7070019222 10605028833 21210057666