Search a number
-
+
21991953867828 = 22371392207853429
BaseRepresentation
bin1010000000000011001101…
…00110010010010000110100
32212212102002002002111021120
411000001212212102100310
510340304010142232303
6114434544130343540
74426603055361450
oct500014646222064
985772062074246
1021991953867828
11700980a6a170a
122572230a2abb0
13c36aa88a2249
145605b8275660
152820db7a4553
hex140066992434

21991953867828 has 96 divisors (see below), whose sum is σ = 59093951078400. Its totient is φ = 6235377100416.

The previous prime is 21991953867797. The next prime is 21991953867833. The reversal of 21991953867828 is 82876835919912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25342218 + ... + 26195646.

It is an arithmetic number, because the mean of its divisors is an integer number (615561990400).

Almost surely, 221991953867828 is an apocalyptic number.

21991953867828 is a gapful number since it is divisible by the number (28) 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 21991953867828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29546975539200).

21991953867828 is an abundant number, since it is smaller than the sum of its proper divisors (37101997210572).

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

21991953867828 is a wasteful number, since it uses less digits than its factorization.

21991953867828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855789 (or 855787 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 78.

The spelling of 21991953867828 in words is "twenty-one trillion, nine hundred ninety-one billion, nine hundred fifty-three million, eight hundred sixty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 139 278 417 556 834 973 1668 1946 2207 2919 3892 4414 5838 6621 8828 11676 13242 15449 26484 30898 46347 61796 92694 185388 306773 613546 853429 920319 1227092 1706858 1840638 2147411 2560287 3413716 3681276 4294822 5120574 5974003 6442233 8589644 10241148 11948006 12884466 17922009 23896012 25768932 35844018 71688036 118626631 237253262 355879893 474506524 711759786 830386417 1423519572 1660772834 1883517803 2491159251 3321545668 3767035606 4982318502 5650553409 7534071212 9964637004 11301106818 13184624621 22602213636 26369249242 39553873863 52738498484 79107747726 158215495452 261808974617 523617949234 785426923851 1047235898468 1570853847702 1832662822319 3141707695404 3665325644638 5497988466957 7330651289276 10995976933914 21991953867828