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10728348975 = 325247681551
BaseRepresentation
bin10011111110111010…
…11001110100101111
31000200200021121002100
421333131121310233
5133432424131400
64532321430143
7526600314231
oct117735316457
930620247070
1010728348975
114605967413
1220b4a9b353
13101c8741b6
1473ab9a251
1542bcd0100
hex27f759d2f

10728348975 has 18 divisors (see below), whose sum is σ = 19215665456. Its totient is φ = 5721786000.

The previous prime is 10728348973. The next prime is 10728349007. The reversal of 10728348975 is 57984382701.

It is a happy number.

10728348975 is a `hidden beast` number, since 10 + 7 + 2 + 83 + 489 + 75 = 666.

It is not a de Polignac number, because 10728348975 - 21 = 10728348973 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 (10728348973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23840551 + ... + 23841000.

Almost surely, 210728348975 is an apocalyptic number.

10728348975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10728348975 is a deficient number, since it is larger than the sum of its proper divisors (8487316481).

10728348975 is a wasteful number, since it uses less digits than its factorization.

10728348975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47681567 (or 47681559 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 10728348975 in words is "ten billion, seven hundred twenty-eight million, three hundred forty-eight thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 75 225 47681551 143044653 238407755 429133959 715223265 1192038775 2145669795 3576116325 10728348975