Search a number
-
+
21079861264 = 2471124170997
BaseRepresentation
bin10011101000011101…
…010010100000010000
32000102002110220102101
4103220131102200100
5321132421030024
613403422330144
71344243602320
oct235035224020
960362426371
1021079861264
118a38039850
124103729954
131cac326cb7
14103d8a1280
15835974c44
hex4e8752810

21079861264 has 80 divisors (see below), whose sum is σ = 51132191616. Its totient is φ = 8178739200.

The previous prime is 21079861207. The next prime is 21079861303. The reversal of 21079861264 is 46216897012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261414 + ... + 332410.

Almost surely, 221079861264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21079861264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25566095808).

21079861264 is an abundant number, since it is smaller than the sum of its proper divisors (30052330352).

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

21079861264 is a wasteful number, since it uses less digits than its factorization.

21079861264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71264 (or 71258 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 21079861264 in words is "twenty-one billion, seventy-nine million, eight hundred sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 241 308 482 616 964 1232 1687 1928 2651 3374 3856 5302 6748 10604 13496 18557 21208 26992 37114 42416 70997 74228 141994 148456 283988 296912 496979 567976 780967 993958 1135952 1561934 1987916 3123868 3975832 5466769 6247736 7951664 10933538 12495472 17110277 21867076 34220554 43734152 68441108 87468304 119771939 136882216 188213047 239543878 273764432 376426094 479087756 752852188 958175512 1317491329 1505704376 1916351024 2634982658 3011408752 5269965316 10539930632 21079861264