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13825312929791 = 117121503823237
BaseRepresentation
bin1100100100101111010011…
…0111011011011111111111
31210221200112211101100001022
43021023310313123133333
53303003220102223131
645223132220534355
72624563066635506
oct311136467333777
953850484340038
1013825312929791
1144503117a6280
1216735313b13bb
1379394bc4534c
1435b21211183d
1518e964d6137b
hexc92f4ddb7ff

13825312929791 has 16 divisors (see below), whose sum is σ = 15295314198528. Its totient is φ = 12390854330400.

The previous prime is 13825312929781. The next prime is 13825312929829. The reversal of 13825312929791 is 19792921352831.

It is a cyclic number.

It is not a de Polignac number, because 13825312929791 - 210 = 13825312928767 is a prime.

It is a super-2 number, since 2×138253129297912 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13825312929721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16382225 + ... + 17205461.

It is an arithmetic number, because the mean of its divisors is an integer number (955957137408).

Almost surely, 213825312929791 is an apocalyptic number.

13825312929791 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13825312929791 is a deficient number, since it is larger than the sum of its proper divisors (1470001268737).

13825312929791 is a wasteful number, since it uses less digits than its factorization.

13825312929791 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844822.

The product of its digits is 14696640, while the sum is 62.

The spelling of 13825312929791 in words is "thirteen trillion, eight hundred twenty-five billion, three hundred twelve million, nine hundred twenty-nine thousand, seven hundred ninety-one".

Divisors: 1 11 71 781 21503 236533 823237 1526713 9055607 16793843 58449827 642948097 17702065211 194722717321 1256846629981 13825312929791