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21294835260 = 22356111934877
BaseRepresentation
bin10011110101010001…
…010110011000111100
32000222001222201022020
4103311101112120330
5322102434212020
613441022120140
71352464053546
oct236521263074
960861881266
1021294835260
119038419a06
124163720050
132014a24b4a
141060260696
1584978ac40
hex4f545663c

21294835260 has 96 divisors (see below), whose sum is σ = 60666242112. Its totient is φ = 5579704320.

The previous prime is 21294835259. The next prime is 21294835277. The reversal of 21294835260 is 6253849212.

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, 4363942 + ... + 4368818.

It is an arithmetic number, because the mean of its divisors is an integer number (631940022).

Almost surely, 221294835260 is an apocalyptic number.

21294835260 is a gapful number since it is divisible by the number (20) 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 21294835260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30333121056).

21294835260 is an abundant number, since it is smaller than the sum of its proper divisors (39371406852).

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

21294835260 is a wasteful number, since it uses less digits than its factorization.

21294835260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6143 (or 6141 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 21294835260 in words is "twenty-one billion, two hundred ninety-four million, eight hundred thirty-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1193 1220 1830 2386 3579 3660 4772 4877 5965 7158 9754 11930 14316 14631 17895 19508 23860 24385 29262 35790 48770 58524 71580 72773 73155 97540 145546 146310 218319 291092 292620 297497 363865 436638 594994 727730 873276 892491 1091595 1189988 1455460 1487485 1784982 2183190 2974970 3569964 4366380 4462455 5818261 5949940 8924910 11636522 17454783 17849820 23273044 29091305 34909566 58182610 69819132 87273915 116365220 174547830 349095660 354913921 709827842 1064741763 1419655684 1774569605 2129483526 3549139210 4258967052 5323708815 7098278420 10647417630 21294835260