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21064085380 = 225134112715559
BaseRepresentation
bin10011100111100001…
…000110111110000100
32000100222210101222101
4103213201012332010
5321114401213010
613402100241444
71343662525432
oct234741067604
960328711871
1021064085380
118a2a144128
1240ba3a0284
131ca8c92460
14103b755d52
158343aa73a
hex4e7846f84

21064085380 has 96 divisors (see below), whose sum is σ = 49186529280. Its totient is φ = 7527582720.

The previous prime is 21064085353. The next prime is 21064085381. The reversal of 21064085380 is 8358046012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21064085381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1346041 + ... + 1361599.

It is an arithmetic number, because the mean of its divisors is an integer number (512359680).

Almost surely, 221064085380 is an apocalyptic number.

21064085380 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 21064085380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24593264640).

21064085380 is an abundant number, since it is smaller than the sum of its proper divisors (28122443900).

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

21064085380 is a wasteful number, since it uses less digits than its factorization.

21064085380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15749 (or 15747 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 21064085380 in words is "twenty-one billion, sixty-four million, eighty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 127 130 164 205 254 260 410 508 533 635 820 1066 1270 1651 2132 2540 2665 3302 5207 5330 6604 8255 10414 10660 15559 16510 20828 26035 31118 33020 52070 62236 67691 77795 104140 135382 155590 202267 270764 311180 338455 404534 637919 676910 809068 1011335 1275838 1353820 1975993 2022670 2551676 3189595 3951986 4045340 6379190 7903972 8292947 9879965 12758380 16585894 19759930 25687909 33171788 39519860 41464735 51375818 81015713 82929470 102751636 128439545 162031426 165858940 256879090 324062852 405078565 513758180 810157130 1053204269 1620314260 2106408538 4212817076 5266021345 10532042690 21064085380