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213792430384 = 24137913010737
BaseRepresentation
bin1100011100011100000…
…1011001100100110000
3202102211120011202002101
43013013001121210300
512000321330233014
6242114225430144
721305655450211
oct3070701314460
9672746152071
10213792430384
118273a2872a5
123552679b354
13172119234a0
14a4c1ba5408
155864255474
hex31c7059930

213792430384 has 40 divisors (see below), whose sum is σ = 451732823360. Its totient is φ = 97424391168.

The previous prime is 213792430351. The next prime is 213792430387. The reversal of 213792430384 is 483034297312.

It is a happy number.

213792430384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (213792430387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6488937 + ... + 6521800.

It is an arithmetic number, because the mean of its divisors is an integer number (11293320584).

Almost surely, 2213792430384 is an apocalyptic number.

It is an amenable number.

213792430384 is an abundant number, since it is smaller than the sum of its proper divisors (237940392976).

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

213792430384 is a wasteful number, since it uses less digits than its factorization.

213792430384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13010837 (or 13010831 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 213792430384 in words is "two hundred thirteen billion, seven hundred ninety-two million, four hundred thirty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 52 79 104 158 208 316 632 1027 1264 2054 4108 8216 16432 13010737 26021474 52042948 104085896 169139581 208171792 338279162 676558324 1027848223 1353116648 2055696446 2706233296 4111392892 8222785784 13362026899 16445571568 26724053798 53448107596 106896215192 213792430384