Search a number
-
+
216646215030 = 23557191016637
BaseRepresentation
bin1100100111000100011…
…1101110010101110110
3202201012110002000200000
43021301013232111312
512022142412340110
6243305332132130
721436460305110
oct3116107562566
9681173060600
10216646215030
118397415aa03
1235ba2467046
1317577c3265b
14a6b2bca3b0
15597ea661c0
hex32711ee576

216646215030 has 384 divisors, whose sum is σ = 709792312320. Its totient is φ = 46441382400.

The previous prime is 216646215013. The next prime is 216646215061. The reversal of 216646215030 is 30512646612.

216646215030 is a `hidden beast` number, since 2 + 1 + 6 + 646 + 2 + 1 + 5 + 0 + 3 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32638872 + ... + 32645508.

It is an arithmetic number, because the mean of its divisors is an integer number (1848417480).

Almost surely, 2216646215030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216646215030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354896156160).

216646215030 is an abundant number, since it is smaller than the sum of its proper divisors (493146097290).

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

216646215030 is a wasteful number, since it uses less digits than its factorization.

216646215030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6786 (or 6774 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 216646215030 in words is "two hundred sixteen billion, six hundred forty-six million, two hundred fifteen thousand, thirty".