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213679150216 = 237219376771163
BaseRepresentation
bin1100011100000001000…
…1010001010010001000
3202102112200000111220121
43013000101101102020
512000103330301331
6242055101433024
721303111544300
oct3070021212210
9672480014817
10213679150216
1182691345224
12354b486b774
13171c43100bc
14a4b0b18600
15585932ac11
hex31c0451488

213679150216 has 384 divisors, whose sum is σ = 521753011200. Its totient is φ = 81478172160.

The previous prime is 213679150207. The next prime is 213679150241. The reversal of 213679150216 is 612051976312.

213679150216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1310914951 + ... + 1310915113.

It is an arithmetic number, because the mean of its divisors is an integer number (1358731800).

Almost surely, 2213679150216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213679150216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260876505600).

213679150216 is an abundant number, since it is smaller than the sum of its proper divisors (308073860984).

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

213679150216 is a wasteful number, since it uses less digits than its factorization.

213679150216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The spelling of 213679150216 in words is "two hundred thirteen billion, six hundred seventy-nine million, one hundred fifty thousand, two hundred sixteen".