Search a number
-
+
21356348160 = 283572113501
BaseRepresentation
bin10011111000111100…
…000000001100000000
32001010100201220010210
4103320330000030000
5322214211120120
613451100354120
71354141651500
oct237074001400
961110656123
1021356348160
11906a113514
124180245940
1320246b1604
1410684b3a00
1584ed8bce0
hex4f8f00300

21356348160 has 216 divisors, whose sum is σ = 79343346096. Its totient is φ = 4881408000.

The previous prime is 21356348149. The next prime is 21356348179. The reversal of 21356348160 is 6184365312.

It is a super-2 number, since 2×213563481602 (a number of 21 digits) contains 22 as substring.

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, 131410 + ... + 244910.

It is an arithmetic number, because the mean of its divisors is an integer number (367330306).

Almost surely, 221356348160 is an apocalyptic number.

21356348160 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 21356348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39671673048).

21356348160 is an abundant number, since it is smaller than the sum of its proper divisors (57986997936).

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

21356348160 is a wasteful number, since it uses less digits than its factorization.

21356348160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113539 (or 113518 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 21356348160 in words is "twenty-one billion, three hundred fifty-six million, three hundred forty-eight thousand, one hundred sixty".