Search a number
-
+
216188878160 = 2459412871797
BaseRepresentation
bin1100100101010111011…
…1000111110101010000
3202200000120111220102102
43021111313013311100
512020223323100120
6243152113535532
721422235100343
oct3112567076520
9680016456372
10216188878160
1183759a92a52
1235a952745a8
1317504267318
14a66c17c45a
155954828d75
hex3255dc7d50

216188878160 has 40 divisors (see below), whose sum is σ = 503173471176. Its totient is φ = 86383623680.

The previous prime is 216188878153. The next prime is 216188878193. The reversal of 216188878160 is 61878881612.

It can be written as a sum of positive squares in 4 ways, for example, as 146119744 + 216042758416 = 12088^2 + 464804^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 216188878096 and 216188878105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1360619 + ... + 1511178.

Almost surely, 2216188878160 is an apocalyptic number.

216188878160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216188878160 is an abundant number, since it is smaller than the sum of its proper divisors (286984593016).

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

216188878160 is a wasteful number, since it uses less digits than its factorization.

216188878160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872751 (or 2872745 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 56.

The spelling of 216188878160 in words is "two hundred sixteen billion, one hundred eighty-eight million, eight hundred seventy-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 941 1882 3764 4705 7528 9410 15056 18820 37640 75280 2871797 5743594 11487188 14358985 22974376 28717970 45948752 57435940 114871880 229743760 2702360977 5404721954 10809443908 13511804885 21618887816 27023609770 43237775632 54047219540 108094439080 216188878160