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216980370432 = 21033737157193
BaseRepresentation
bin1100101000010100001…
…0011011010000000000
3202202001201211212201000
43022011002123100000
512023333433323212
6243402430212000
721450655501110
oct3120502332000
9682051755630
10216980370432
11840258428a1
1236076354000
13175cc22b947
14a705331040
15599e0701dc
hex328509b400

216980370432 has 704 divisors, whose sum is σ = 762974871040. Its totient is φ = 59624128512.

The previous prime is 216980370421. The next prime is 216980370463. The reversal of 216980370432 is 234073089612.

216980370432 is a `hidden beast` number, since 2 + 169 + 80 + 370 + 43 + 2 = 666.

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, 1124250528 + ... + 1124250720.

Almost surely, 2216980370432 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 216980370432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381487435520).

216980370432 is an abundant number, since it is smaller than the sum of its proper divisors (545994500608).

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

216980370432 is a wasteful number, since it uses less digits than its factorization.

216980370432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 216980370432 in words is "two hundred sixteen billion, nine hundred eighty million, three hundred seventy thousand, four hundred thirty-two".