Search a number
-
+
216391411320 = 233571972934463
BaseRepresentation
bin1100100110000111101…
…1101110011001111000
3202200112200121122200120
43021201323232121320
512021132200130240
6243224150533240
721430244435130
oct3114173563170
9680480548616
10216391411320
1183853346127
1235b31067220
13175371ca626
14a68b01dac0
1559674d3ad0
hex3261eee678

216391411320 has 256 divisors, whose sum is σ = 748392099840. Its totient is φ = 49030883328.

The previous prime is 216391411303. The next prime is 216391411363. The reversal of 216391411320 is 23114193612.

It is a super-2 number, since 2×2163914113202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48483409 + ... + 48487871.

It is an arithmetic number, because the mean of its divisors is an integer number (2923406640).

Almost surely, 2216391411320 is an apocalyptic number.

216391411320 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 216391411320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374196049920).

216391411320 is an abundant number, since it is smaller than the sum of its proper divisors (532000688520).

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

216391411320 is a wasteful number, since it uses less digits than its factorization.

216391411320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974 (or 4970 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 216391411320 in words is "two hundred sixteen billion, three hundred ninety-one million, four hundred eleven thousand, three hundred twenty".