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10676675584 = 21032292
BaseRepresentation
bin10011111000110000…
…10010010000000000
31000120002001022112001
421330120102100000
5133331212104314
64523234113344
7525402150031
oct117430222000
930502038461
1010676675584
114589783433
12209b71b854
131011c51223
14733d88a88
154274c4674
hex27c612400

10676675584 has 33 divisors (see below), whose sum is σ = 21349536537. Its totient is φ = 5336684544.

The previous prime is 10676675579. The next prime is 10676675591. The reversal of 10676675584 is 48557667601.

The square root of 10676675584 is 103328.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3211715584 + 7464960000 = 56672^2 + 86400^2 .

It is a super-2 number, since 2×106766755842 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3304882 + ... + 3308110.

Almost surely, 210676675584 is an apocalyptic number.

10676675584 is the 103328-th square number.

It is an amenable number.

10676675584 is a deficient number, since it is larger than the sum of its proper divisors (10672860953).

10676675584 is an frugal number, since it uses more digits than its factorization.

10676675584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6478 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 55.

The spelling of 10676675584 in words is "ten billion, six hundred seventy-six million, six hundred seventy-five thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 3229 6458 12916 25832 51664 103328 206656 413312 826624 1653248 3306496 10426441 20852882 41705764 83411528 166823056 333646112 667292224 1334584448 2669168896 5338337792 10676675584