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20689370244 = 22346121312
BaseRepresentation
bin10011010001001011…
…101011110010000100
31222101212200220110000
4103101023223302010
5314332434321434
613300553001300
71331462513454
oct232113536204
958355626400
1020689370244
1188576790a4
1240149b3230
131c4946491a
141003a93d64
1581153db99
hex4d12ebc84

20689370244 has 135 divisors (see below), whose sum is σ = 55410247893. Its totient is φ = 6731618400.

The previous prime is 20689370231. The next prime is 20689370357. The reversal of 20689370244 is 44207398602.

The square root of 20689370244 is 143838.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 672779844 + 20016590400 = 25938^2 + 141480^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20689370244.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 157934059 + ... + 157934189.

Almost surely, 220689370244 is an apocalyptic number.

20689370244 is the 143838-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20689370244

20689370244 is an abundant number, since it is smaller than the sum of its proper divisors (34720877649).

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

20689370244 is an equidigital number, since it uses as much as digits as its factorization.

20689370244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 20689370244 in words is "twenty billion, six hundred eighty-nine million, three hundred seventy thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 131 162 183 244 262 324 366 393 524 549 732 786 1098 1179 1572 1647 2196 2358 3294 3537 3721 4716 4941 6588 7074 7442 7991 9882 10611 11163 14148 14884 15982 17161 19764 21222 22326 23973 31964 33489 34322 42444 44652 47946 51483 66978 68644 71919 95892 100467 102966 133956 143838 154449 200934 205932 215757 287676 301401 308898 401868 431514 463347 487451 602802 617796 647271 863028 926694 974902 1046821 1205604 1294542 1390041 1462353 1853388 1949804 2093642 2589084 2780082 2924706 3140463 4187284 4387059 5560164 5849412 6280926 8774118 9421389 12561852 13161177 17548236 18842778 26322354 28264167 37685556 39483531 52644708 56528334 63856081 78967062 84792501 113056668 127712162 157934124 169585002 191568243 255424324 339170004 383136486 574704729 766272972 1149409458 1724114187 2298818916 3448228374 5172342561 6896456748 10344685122 20689370244