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20792535306957 = 328968489379013
BaseRepresentation
bin1001011101001001000111…
…01011100101001011001101
32201121202011112110112211200
410232210203223211023031
510211131103014310312
6112115543040140113
74244132260001301
oct456444353451315
981552145415750
1020792535306957
116697079136427
1223b9896007639
13b7a95c8b4a7b
1451c515061d01
15260cdcb6c0dc
hex12e923ae52cd

20792535306957 has 24 divisors (see below), whose sum is σ = 30371642566200. Its totient is φ = 13705704595968.

The previous prime is 20792535306923. The next prime is 20792535306971. The reversal of 20792535306957 is 75960353529702.

It is a happy number.

20792535306957 is a `hidden beast` number, since 2 + 0 + 7 + 9 + 2 + 5 + 3 + 530 + 6 + 95 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7087787721 + 20785447519236 = 84189^2 + 4559106^2 .

It is not a de Polignac number, because 20792535306957 - 211 = 20792535304909 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20792535306894 and 20792535306903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20792535306457) by changing a digit.

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, 54670183 + ... + 55049195.

It is an arithmetic number, because the mean of its divisors is an integer number (1265485106925).

Almost surely, 220792535306957 is an apocalyptic number.

It is an amenable number.

20792535306957 is a deficient number, since it is larger than the sum of its proper divisors (9579107259243).

20792535306957 is a wasteful number, since it uses less digits than its factorization.

20792535306957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447597 (or 447594 counting only the distinct ones).

The product of its (nonzero) digits is 107163000, while the sum is 63.

The spelling of 20792535306957 in words is "twenty trillion, seven hundred ninety-two billion, five hundred thirty-five million, three hundred six thousand, nine hundred fifty-seven".

Divisors: 1 3 9 89 267 801 68489 205467 379013 616401 1137039 3411117 6095521 18286563 33732157 54859689 101196471 303589413 25958221357 77874664071 233623992213 2310281700773 6930845102319 20792535306957