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7676563456 = 212374
BaseRepresentation
bin1110010011000111…
…10001000000000000
3201210222210211101001
413021203301000000
5111210200012311
63305423221344
7361142466322
oct71143610000
921728724331
107676563456
11328a246821
1215a2a47854
1395452a953
1452b753612
152ede0c4c1
hex1c98f1000

7676563456 has 65 divisors (see below), whose sum is σ = 15777676211. Its totient is φ = 3734544384.

The previous prime is 7676563441. The next prime is 7676563457. The reversal of 7676563456 is 6543656767.

The square root of 7676563456 is 87616.

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

It can be written as a sum of positive squares in 2 ways, for example, as 4786425856 + 2890137600 = 69184^2 + 53760^2 .

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7676563397 and 7676563406.

It is not an unprimeable number, because it can be changed into a prime (7676563457) by changing a digit.

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 4 ways as a sum of consecutive naturals, for example, 207474670 + ... + 207474706.

Almost surely, 27676563456 is an apocalyptic number.

7676563456 is the 87616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7676563456

7676563456 is an abundant number, since it is smaller than the sum of its proper divisors (8101112755).

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

7676563456 is an frugal number, since it uses more digits than its factorization.

7676563456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 39 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 55.

The cubic root of 7676563456 is about 1972.6753361744.

The spelling of 7676563456 in words is "seven billion, six hundred seventy-six million, five hundred sixty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 1369 2048 2368 2738 4096 4736 5476 9472 10952 18944 21904 37888 43808 50653 75776 87616 101306 151552 175232 202612 350464 405224 700928 810448 1401856 1620896 1874161 2803712 3241792 3748322 5607424 6483584 7496644 12967168 14993288 25934336 29986576 51868672 59973152 103737344 119946304 207474688 239892608 479785216 959570432 1919140864 3838281728 7676563456