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19631932996 = 221321723172
BaseRepresentation
bin10010010010001001…
…111000011001000100
31212200011221112020111
4102102021320121010
5310201233323441
613004020242404
71263332451154
oct222211703104
955604845214
1019631932996
118364794915
12397a840404
131b0b367100
14d43474764
1579d7b4081
hex492278644

19631932996 has 81 divisors (see below), whose sum is σ = 39644066469. Its totient is φ = 8500996608.

The previous prime is 19631932961. The next prime is 19631933011. The reversal of 19631932996 is 69923913691.

The square root of 19631932996 is 140114.

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

It can be written as a sum of positive squares in 13 ways, for example, as 19229368900 + 402564096 = 138670^2 + 20064^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 19631932996.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 61930230 + ... + 61930546.

Almost surely, 219631932996 is an apocalyptic number.

19631932996 is the 140114-th square number.

It is an amenable number.

19631932996 is an abundant number, since it is smaller than the sum of its proper divisors (20012133473).

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

19631932996 is a wasteful number, since it uses less digits than its factorization.

19631932996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 349 counting only the distinct ones).

The product of its digits is 4251528, while the sum is 58.

The spelling of 19631932996 in words is "nineteen billion, six hundred thirty-one million, nine hundred thirty-two thousand, nine hundred ninety-six".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 289 317 338 442 578 634 676 884 1156 1268 2873 3757 4121 5389 5746 7514 8242 10778 11492 15028 16484 21556 48841 53573 70057 91613 97682 100489 107146 140114 183226 195364 200978 214292 280228 366452 401956 910741 1190969 1306357 1708313 1821482 2381938 2612714 3416626 3642964 4763876 5225428 6833252 15482597 16982641 22208069 29041321 30965194 33965282 44416138 58082642 61930388 67930564 88832276 116165284 288704897 377537173 577409794 755074346 1154819588 1510148692 4907983249 9815966498 19631932996