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8980215696 = 24325321492
BaseRepresentation
bin10000101110100001…
…10011011110010000
3212011211212020001100
420113100303132100
5121342413400241
64043033104400
7435352400604
oct102720633620
925154766040
108980215696
113899108a71
1218a7558100
13b016440ca
14612945504
153785be9b6
hex217433790

8980215696 has 135 divisors (see below), whose sum is σ = 25788337939. Its totient is φ = 2917214976.

The previous prime is 8980215683. The next prime is 8980215697. The reversal of 8980215696 is 6965120898.

It is a happy number.

The square root of 8980215696 is 94764.

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

It can be written as a sum of positive squares in 4 ways, for example, as 380250000 + 8599965696 = 19500^2 + 92736^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8980215697) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60269830 + ... + 60269978.

Almost surely, 28980215696 is an apocalyptic number.

8980215696 is the 94764-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8980215696

8980215696 is an abundant number, since it is smaller than the sum of its proper divisors (16808122243).

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

8980215696 is a wasteful number, since it uses less digits than its factorization.

8980215696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The cubic root of 8980215696 is about 2078.5585192544.

It can be divided in two parts, 8980 and 215696, that added together give a square (224676 = 4742).

The spelling of 8980215696 in words is "eight billion, nine hundred eighty million, two hundred fifteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 149 159 212 298 318 424 447 477 596 636 848 894 954 1192 1272 1341 1788 1908 2384 2544 2682 2809 3576 3816 5364 5618 7152 7632 7897 8427 10728 11236 15794 16854 21456 22201 22472 23691 25281 31588 33708 44402 44944 47382 50562 63176 66603 67416 71073 88804 94764 101124 126352 133206 134832 142146 177608 189528 199809 202248 266412 284292 355216 379056 399618 404496 418541 532824 568584 799236 837082 1065648 1137168 1176653 1255623 1598472 1674164 2353306 2511246 3196944 3348328 3529959 3766869 4706612 5022492 6696656 7059918 7533738 9413224 10044984 10589877 14119836 15067476 18826448 20089968 21179754 28239672 30134952 42359508 56479344 60269904 62362609 84719016 124725218 169438032 187087827 249450436 374175654 498900872 561263481 748351308 997801744 1122526962 1496702616 2245053924 2993405232 4490107848 8980215696