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11792987973 = 3213412458409
BaseRepresentation
bin10101111101110101…
…01011011101000101
31010102212120212020100
422332322223131011
5143123001103343
65230112354313
7565145513064
oct127672533505
933385525210
1011792987973
11500191a458
122351545999
13115c2c39c0
147dc3321db
154904cd9d3
hex2beeab745

11792987973 has 24 divisors (see below), whose sum is σ = 18792086040. Its totient is φ = 7080215040.

The previous prime is 11792987929. The next prime is 11792987981. The reversal of 11792987973 is 37978929711.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 280127169 + 11512860804 = 16737^2 + 107298^2 .

It is not a de Polignac number, because 11792987973 - 216 = 11792922437 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11792987973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11792987923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1224408 + ... + 1234001.

It is an arithmetic number, because the mean of its divisors is an integer number (783003585).

Almost surely, 211792987973 is an apocalyptic number.

11792987973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11792987973 is a deficient number, since it is larger than the sum of its proper divisors (6999098067).

11792987973 is a wasteful number, since it uses less digits than its factorization.

11792987973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458469 (or 2458466 counting only the distinct ones).

The product of its digits is 12002256, while the sum is 63.

The spelling of 11792987973 in words is "eleven billion, seven hundred ninety-two million, nine hundred eighty-seven thousand, nine hundred seventy-three".

Divisors: 1 3 9 13 39 41 117 123 369 533 1599 4797 2458409 7375227 22125681 31959317 95877951 100794769 287633853 302384307 907152921 1310331997 3930995991 11792987973