Search a number
-
+
10577852852831 = 112124669701219
BaseRepresentation
bin1001100111101101100100…
…1010010110101001011111
31101110020021202022122212122
42121323121022112221133
52341301420312242311
634255222025053155
72141140024505165
oct231733112265137
941406252278778
1010577852852831
113409051198100
12122a0856271bb
135b9644623504
14287d83c8b235
1513524a7b80db
hex99ed9296a5f

10577852852831 has 12 divisors (see below), whose sum is σ = 11627005954200. Its totient is φ = 9616139018640.

The previous prime is 10577852852803. The next prime is 10577852852849. The reversal of 10577852852831 is 13825825877501.

It is not a de Polignac number, because 10577852852831 - 26 = 10577852852767 is a prime.

It is a super-2 number, since 2×105778528528312 (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 (10577852852881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14734340 + ... + 15435558.

It is an arithmetic number, because the mean of its divisors is an integer number (968917162850).

Almost surely, 210577852852831 is an apocalyptic number.

10577852852831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10577852852831 is a deficient number, since it is larger than the sum of its proper divisors (1049153101369).

10577852852831 is a wasteful number, since it uses less digits than its factorization.

10577852852831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825910 (or 825899 counting only the distinct ones).

The product of its (nonzero) digits is 37632000, while the sum is 62.

The spelling of 10577852852831 in words is "ten trillion, five hundred seventy-seven billion, eight hundred fifty-two million, eight hundred fifty-two thousand, eight hundred thirty-one".

Divisors: 1 11 121 124669 701219 1371359 7713409 15084949 84847499 87420271511 961622986621 10577852852831