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11658052053 = 321924187517
BaseRepresentation
bin10101101101101111…
…11100000111010101
31010002110200101221200
422312313330013111
5142333430131203
65204452303113
7561616543644
oct126667740725
933073611850
1011658052053
114a4273706a
122314311a99
13113a36a66b
147c844935b
154837279a3
hex2b6dfc1d5

11658052053 has 36 divisors (see below), whose sum is σ = 18206019468. Its totient is φ = 7183313280.

The previous prime is 11658052051. The next prime is 11658052057. The reversal of 11658052053 is 35025085611.

It is a happy number.

11658052053 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 80 + 520 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 646278084 + 11011773969 = 25422^2 + 104937^2 .

It is not a de Polignac number, because 11658052053 - 21 = 11658052051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11658051999 and 11658052017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11658052051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89451 + ... + 176967.

It is an arithmetic number, because the mean of its divisors is an integer number (505722763).

Almost surely, 211658052053 is an apocalyptic number.

It is an amenable number.

11658052053 is a deficient number, since it is larger than the sum of its proper divisors (6547967415).

11658052053 is a wasteful number, since it uses less digits than its factorization.

11658052053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87602 (or 87580 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 11658052053 in words is "eleven billion, six hundred fifty-eight million, fifty-two thousand, fifty-three".

Divisors: 1 3 9 19 41 57 123 171 361 369 779 1083 2337 3249 7011 14801 44403 87517 133209 262551 787653 1662823 3588197 4988469 10764591 14965407 31593637 32293773 68175743 94780911 204527229 284342733 613581687 1295339117 3886017351 11658052053