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1056746656 = 25717359773
BaseRepresentation
bin111110111111001…
…010110010100000
32201122110021220001
4332333022302200
54131011343111
6252505425344
735121125020
oct7677126240
92648407801
101056746656
114a2562449
12255a9b254
1313ac183a4
14a04bda80
1562b901c1
hex3efcaca0

1056746656 has 96 divisors (see below), whose sum is σ = 2527822080. Its totient is φ = 424513536.

The previous prime is 1056746653. The next prime is 1056746671. The reversal of 1056746656 is 6566476501.

It is a super-2 number, since 2×10567466562 = 2233426989934364672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056746653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1366686 + ... + 1367458.

It is an arithmetic number, because the mean of its divisors is an integer number (26331480).

Almost surely, 21056746656 is an apocalyptic number.

1056746656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056746656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263911040).

1056746656 is an abundant number, since it is smaller than the sum of its proper divisors (1471075424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1056746656 is a wasteful number, since it uses less digits than its factorization.

1056746656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The square root of 1056746656 is about 32507.6399635532. The cubic root of 1056746656 is about 1018.5686240841.

The spelling of 1056746656 in words is "one billion, fifty-six million, seven hundred forty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 359 476 544 718 773 952 1436 1546 1904 2513 2872 3092 3808 5026 5411 5744 6103 6184 10052 10822 11488 12206 12368 13141 20104 21644 24412 24736 26282 40208 42721 43288 48824 52564 80416 85442 86576 91987 97648 105128 170884 173152 183974 195296 210256 277507 341768 367948 420512 555014 683536 735896 1110028 1367072 1471792 1942549 2220056 2943584 3885098 4440112 4717619 7770196 8880224 9435238 15540392 18870476 31080784 33023333 37740952 62161568 66046666 75481904 132093332 150963808 264186664 528373328 1056746656