Search a number
-
+
20399247360 = 2123554099
BaseRepresentation
bin10010111111111000…
…111101000000000000
31221122122210010200000
4102333320331000000
5313234201403420
613212110400000
71321340512242
oct227770750000
957578703600
1020399247360
118718930518
123b53800000
131c0131478b
14db7332092
157e5d31690
hex4bfe3d000

20399247360 has 312 divisors, whose sum is σ = 73345490400. Its totient is φ = 5438472192.

The previous prime is 20399247329. The next prime is 20399247373. The reversal of 20399247360 is 6374299302.

20399247360 is a `hidden beast` number, since 2 + 0 + 39 + 92 + 473 + 60 = 666.

It is a super-2 number, since 2×203992473602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4974591 + ... + 4978689.

It is an arithmetic number, because the mean of its divisors is an integer number (235081700).

Almost surely, 220399247360 is an apocalyptic number.

20399247360 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 20399247360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36672745200).

20399247360 is an abundant number, since it is smaller than the sum of its proper divisors (52946243040).

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

20399247360 is an frugal number, since it uses more digits than its factorization.

20399247360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4143 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 20399247360 in words is "twenty billion, three hundred ninety-nine million, two hundred forty-seven thousand, three hundred sixty".