Search a number
-
+
21072448968 = 2335914999877
BaseRepresentation
bin10011101000000001…
…000000110111001000
32000101120112022122220
4103220001000313020
5321124021331333
613402555414040
71344123601164
oct235001006710
960346468586
1021072448968
118a3393688a
124101154320
131caa93021c
14103c8d1ca4
15834ead8b3
hex4e8040dc8

21072448968 has 64 divisors (see below), whose sum is σ = 53934120000. Its totient is φ = 6858684672.

The previous prime is 21072448951. The next prime is 21072448987. The reversal of 21072448968 is 86984427012.

It is a self number, because there is not a number n which added to its sum of digits gives 21072448968.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161046 + ... + 260922.

It is an arithmetic number, because the mean of its divisors is an integer number (842720625).

Almost surely, 221072448968 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 21072448968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26967060000).

21072448968 is an abundant number, since it is smaller than the sum of its proper divisors (32861671032).

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

21072448968 is a wasteful number, since it uses less digits than its factorization.

21072448968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100094 (or 100090 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 21072448968 in words is "twenty-one billion, seventy-two million, four hundred forty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 59 118 149 177 236 298 354 447 472 596 708 894 1192 1416 1788 3576 8791 17582 26373 35164 52746 70328 99877 105492 199754 210984 299631 399508 599262 799016 1198524 2397048 5892743 11785486 14881673 17678229 23570972 29763346 35356458 44645019 47141944 59526692 70712916 89290038 119053384 141425832 178580076 357160152 878018707 1756037414 2634056121 3512074828 5268112242 7024149656 10536224484 21072448968