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213780405244 = 227192319139133
BaseRepresentation
bin1100011100011001001…
…1100001101111111100
3202102210201112210200211
43013012103201233330
512000310240431434
6242113120002204
721305451314410
oct3070623415774
9672721483624
10213780405244
118273351366a
1235522760364
131720c2a2c13
14a4c0354d40
15586317c464
hex31c64e1bfc

213780405244 has 96 divisors (see below), whose sum is σ = 469928954880. Its totient is φ = 82971744768.

The previous prime is 213780405211. The next prime is 213780405259. The reversal of 213780405244 is 442504087312.

It is a junction number, because it is equal to n+sod(n) for n = 213780405197 and 213780405206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23402902 + ... + 23412034.

It is an arithmetic number, because the mean of its divisors is an integer number (4895093280).

Almost surely, 2213780405244 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 213780405244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234964477440).

213780405244 is an abundant number, since it is smaller than the sum of its proper divisors (256148549636).

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

213780405244 is a wasteful number, since it uses less digits than its factorization.

213780405244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11099 (or 11097 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 213780405244 in words is "two hundred thirteen billion, seven hundred eighty million, four hundred five thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 19 23 28 38 46 76 92 133 161 266 322 437 532 644 874 1748 1913 3059 3826 6118 7652 9133 12236 13391 18266 26782 36347 36532 43999 53564 63931 72694 87998 127862 145388 173527 175996 210059 254429 255724 307993 347054 420118 508858 615986 694108 835981 840236 1017716 1214689 1231972 1470413 1671962 2429378 2940826 3343924 3991121 4858756 5851867 5881652 7982242 11703734 15964484 17471429 23407468 27937847 34942858 55875694 69885716 111751388 122300003 244600006 331957151 401842867 489200012 663914302 803685734 1327828604 1607371468 2323700057 2812900069 4647400114 5625800138 7635014473 9294800228 11251600276 15270028946 30540057892 53445101311 106890202622 213780405244