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21272626064 = 2431113491773
BaseRepresentation
bin10011110011111100…
…101000001110010000
32000220112012101000102
4103303330220032100
5322031243013224
613434510111532
71352104223654
oct236374501620
960815171012
1021272626064
11902692a8a8
1241581ab5a8
13201024a001
14105b31ca64
158478504ae
hex4f3f28390

21272626064 has 80 divisors (see below), whose sum is σ = 43064815104. Its totient is φ = 10168166400.

The previous prime is 21272626061. The next prime is 21272626087. The reversal of 21272626064 is 46062627212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21272626061) 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 15 ways as a sum of consecutive naturals, for example, 27519182 + ... + 27519954.

Almost surely, 221272626064 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 21272626064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21532407552).

21272626064 is an abundant number, since it is smaller than the sum of its proper divisors (21792189040).

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

21272626064 is a wasteful number, since it uses less digits than its factorization.

21272626064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 21272626064 in words is "twenty-one billion, two hundred seventy-two million, six hundred twenty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 31 62 113 124 226 248 452 491 496 773 904 982 1546 1808 1964 3092 3503 3928 6184 7006 7856 12368 14012 15221 23963 28024 30442 47926 55483 56048 60884 87349 95852 110966 121768 174698 191704 221932 243536 349396 379543 383408 443864 698792 759086 887728 1397584 1518172 1719973 2707819 3036344 3439946 5415638 6072688 6879892 10831276 11765833 13759784 21662552 23531666 27519568 42888359 43325104 47063332 85776718 94126664 171553436 188253328 343106872 686213744 1329539129 2659078258 5318156516 10636313032 21272626064