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1028796389761 = 725329310931237
BaseRepresentation
bin11101111100010010000…
…10110001100110000001
310122100111120220121000011
432332021002301212001
5113323433333433021
62104342245024521
7134220351012100
oct16761102614601
93570446817004
101028796389761
11367345817818
121474799b5141
13760271a411a
1437b18aa2037
151bb6488ede1
hexef890b1981

1028796389761 has 48 divisors (see below), whose sum is σ = 1225614562704. Its totient is φ = 860749134336.

The previous prime is 1028796389749. The next prime is 1028796389767. The reversal of 1028796389761 is 1679836978201.

It can be written as a sum of positive squares in 8 ways, for example, as 586878566400 + 441917823361 = 766080^2 + 664769^2 .

It is not a de Polignac number, because 1028796389761 - 25 = 1028796389729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1028796389767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 831686035 + ... + 831687271.

It is an arithmetic number, because the mean of its divisors is an integer number (25533636723).

Almost surely, 21028796389761 is an apocalyptic number.

It is an amenable number.

1028796389761 is a deficient number, since it is larger than the sum of its proper divisors (196818172943).

1028796389761 is a wasteful number, since it uses less digits than its factorization.

1028796389761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 67.

The spelling of 1028796389761 in words is "one trillion, twenty-eight billion, seven hundred ninety-six million, three hundred eighty-nine thousand, seven hundred sixty-one".

Divisors: 1 7 49 53 293 371 1093 1237 2051 2597 7651 8659 14357 15529 53557 57929 60613 65561 108703 320249 362441 405503 458927 760921 1352041 2241743 2537087 2838521 3212489 9464287 15692201 16973197 17759609 19209373 66250009 71658173 118812379 134465611 396148013 501607211 831686653 941259277 2773036091 3511250477 19411252637 20995844689 146970912823 1028796389761