Search a number
-
+
216949942140 = 2235231372295011
BaseRepresentation
bin1100101000001100111…
…0010110011101111100
3202201222121120221221020
43022003032112131330
512023303141122030
6243355422104140
721450136036641
oct3120316263574
9681877527836
10216949942140
118400a64a648
123606811b050
13175c5b36a39
14a70128ddc8
15599b55e510
hex328339677c

216949942140 has 192 divisors, whose sum is σ = 641414108160. Its totient is φ = 54683228160.

The previous prime is 216949942093. The next prime is 216949942141. The reversal of 216949942140 is 41249949612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216949942141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43292235 + ... + 43297245.

It is an arithmetic number, because the mean of its divisors is an integer number (3340698480).

Almost surely, 2216949942140 is an apocalyptic number.

216949942140 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 216949942140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320707054080).

216949942140 is an abundant number, since it is smaller than the sum of its proper divisors (424464166020).

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

216949942140 is a wasteful number, since it uses less digits than its factorization.

216949942140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5412 (or 5410 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 216949942140 in words is "two hundred sixteen billion, nine hundred forty-nine million, nine hundred forty-two thousand, one hundred forty".