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10823768743 = 172231628369
BaseRepresentation
bin10100001010010010…
…11001101010100111
31000221022211102101211
422011021121222213
5134131341044433
64550010532251
7532136342044
oct120511315247
930838742354
1010823768743
11465480a727
122120a37087
131036572cb8
147497181cb
1543537c8cd
hex285259aa7

10823768743 has 12 divisors (see below), whose sum is σ = 11997830160. Its totient is φ = 9744154112.

The previous prime is 10823768677. The next prime is 10823768771. The reversal of 10823768743 is 34786732801.

It is a happy number.

It is not a de Polignac number, because 10823768743 - 29 = 10823768231 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10823768773) 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, 807538 + ... + 820831.

It is an arithmetic number, because the mean of its divisors is an integer number (999819180).

Almost surely, 210823768743 is an apocalyptic number.

10823768743 is a deficient number, since it is larger than the sum of its proper divisors (1174061417).

10823768743 is a wasteful number, since it uses less digits than its factorization.

10823768743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628426 (or 1628409 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 49.

The spelling of 10823768743 in words is "ten billion, eight hundred twenty-three million, seven hundred sixty-eight thousand, seven hundred forty-three".

Divisors: 1 17 23 289 391 6647 1628369 27682273 37452487 470598641 636692279 10823768743