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11762132214 = 2372971136013
BaseRepresentation
bin10101111010001001…
…11110010011110110
31010100201112020002110
422331010332103312
5143042101212324
65223051151450
7564322321440
oct127504762366
933321466073
1011762132214
114a96465028
122343145586
131155aac361
147d81bd490
1548c936329
hex2bd13e4f6

11762132214 has 64 divisors (see below), whose sum is σ = 28203863040. Its totient is φ = 3199002240.

The previous prime is 11762132203. The next prime is 11762132299. The reversal of 11762132214 is 41223126711.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18472 + ... + 154484.

It is an arithmetic number, because the mean of its divisors is an integer number (440685360).

Almost surely, 211762132214 is an apocalyptic number.

11762132214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11762132214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14101931520).

11762132214 is an abundant number, since it is smaller than the sum of its proper divisors (16441730826).

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

11762132214 is a wasteful number, since it uses less digits than its factorization.

11762132214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136125.

The product of its digits is 4032, while the sum is 30.

Adding to 11762132214 its reverse (41223126711), we get a palindrome (52985258925).

The spelling of 11762132214 in words is "eleven billion, seven hundred sixty-two million, one hundred thirty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 29 42 58 71 87 142 174 203 213 406 426 497 609 994 1218 1491 2059 2982 4118 6177 12354 14413 28826 43239 86478 136013 272026 408039 816078 952091 1904182 2856273 3944377 5712546 7888754 9656923 11833131 19313846 23666262 27610639 28970769 55221278 57941538 67598461 82831917 135196922 165663834 202795383 280050767 405590766 560101534 840152301 1680304602 1960355369 3920710738 5881066107 11762132214