Search a number
-
+
213630837192 = 233261149326449
BaseRepresentation
bin1100011011110101100…
…0111110000111001000
3202102102022002221220100
43012331120332013020
512000003443242232
6242050214125400
721301654104063
oct3067530760710
9672368087810
10213630837192
1182667046a03
12354a0650860
13171b72c5806
14a4a853d8da
155854e85c7c
hex31bd63e1c8

213630837192 has 96 divisors (see below), whose sum is σ = 592017075000. Its totient is φ = 69572597760.

The previous prime is 213630837157. The next prime is 213630837193. The reversal of 213630837192 is 291738036312.

213630837192 is a `hidden beast` number, since 2 + 1 + 3 + 630 + 8 + 3 + 7 + 1 + 9 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37235877156 + 176394960036 = 192966^2 + 419994^2 .

It is not an unprimeable number, because it can be changed into a prime (213630837193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 491184 + ... + 817632.

Almost surely, 2213630837192 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 213630837192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296008537500).

213630837192 is an abundant number, since it is smaller than the sum of its proper divisors (378386237808).

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

213630837192 is a wasteful number, since it uses less digits than its factorization.

213630837192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326671 (or 326664 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 213630837192 in words is "two hundred thirteen billion, six hundred thirty million, eight hundred thirty-seven thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 149 183 244 298 366 447 488 549 596 732 894 1098 1192 1341 1464 1788 2196 2682 3576 4392 5364 9089 10728 18178 27267 36356 54534 72712 81801 109068 163602 218136 326449 327204 652898 654408 979347 1305796 1958694 2611592 2938041 3917388 5876082 7834776 11752164 19913389 23504328 39826778 48640901 59740167 79653556 97281802 119480334 145922703 159307112 179220501 194563604 238960668 291845406 358441002 389127208 437768109 477921336 583690812 716882004 875536218 1167381624 1433764008 1751072436 2967094961 3502144872 5934189922 8901284883 11868379844 17802569766 23736759688 26703854649 35605139532 53407709298 71210279064 106815418596 213630837192