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20493008525970 = 2325313727476341
BaseRepresentation
bin1001010100011011001100…
…11111100101101010010010
32200120010000222222112112200
410222031212133211222102
510141224140140312340
6111330205205504030
74213366566242121
oct452154637455222
980503028875480
1020493008525970
116591044074622
12236b823112016
13b58636b22516
1450bc1cb03ab8
1525810bcd6330
hex12a3667e5a92

20493008525970 has 48 divisors (see below), whose sum is σ = 53452051704792. Its totient is φ = 5447342833920.

The previous prime is 20493008525917. The next prime is 20493008525993. The reversal of 20493008525970 is 7952580039402.

20493008525970 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 300 + 85 + 259 + 7 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14580247291281 + 5912761234689 = 3818409^2 + 2431617^2 .

It is a super-2 number, since 2×204930085259702 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 363710001 + ... + 363766340.

Almost surely, 220493008525970 is an apocalyptic number.

20493008525970 is an abundant number, since it is smaller than the sum of its proper divisors (32959043178822).

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

20493008525970 is a wasteful number, since it uses less digits than its factorization.

20493008525970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727476667 (or 727476664 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 20493008525970 in words is "twenty trillion, four hundred ninety-three billion, eight million, five hundred twenty-five thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 313 626 939 1565 1878 2817 3130 4695 5634 9390 14085 28170 727476341 1454952682 2182429023 3637381705 4364858046 6547287069 7274763410 10912145115 13094574138 21824290230 32736435345 65472870690 227700094733 455400189466 683100284199 1138500473665 1366200568398 2049300852597 2277000947330 3415501420995 4098601705194 6831002841990 10246504262985 20493008525970