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9848974564 = 221121323472
BaseRepresentation
bin10010010110000101…
…10110110011100100
3221102101120202011201
421023002312303210
5130132314141224
64305145412244
7466031621362
oct111302666344
927371522151
109848974564
1141a4542400
121aaa49a084
13c0c61c900
1469608c632
153c99c9a44
hex24b0b6ce4

9848974564 has 81 divisors (see below), whose sum is σ = 20573732361. Its totient is φ = 4120527840.

The previous prime is 9848974561. The next prime is 9848974573. The reversal of 9848974564 is 4654798489.

The square root of 9848974564 is 99242.

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., 1456948900 + 8392025664 = 38170^2 + 91608^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9848974496 and 9848974505.

It is not an unprimeable number, because it can be changed into a prime (9848974561) 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, 28383039 + ... + 28383385.

Almost surely, 29848974564 is an apocalyptic number.

9848974564 is the 99242-nd square number.

It is an amenable number.

9848974564 is an abundant number, since it is smaller than the sum of its proper divisors (10724757797).

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

9848974564 is a wasteful number, since it uses less digits than its factorization.

9848974564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 373 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 64.

The cubic root of 9848974564 is about 2143.5338128498.

Multiplying 9848974564 by its sum of digits (64), we get a square (630334372096 = 7939362).

The spelling of 9848974564 in words is "nine billion, eight hundred forty-eight million, nine hundred seventy-four thousand, five hundred sixty-four".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 169 242 286 338 347 484 572 676 694 1388 1573 1859 3146 3718 3817 4511 6292 7436 7634 9022 15268 18044 20449 40898 41987 49621 58643 81796 83974 99242 117286 120409 167948 198484 234572 240818 481636 545831 645073 1091662 1290146 1324499 1565317 2183324 2580292 2648998 3130634 5297996 6261268 7095803 14191606 14569489 17218487 20349121 28383212 29138978 34436974 40698242 58277956 68873948 81396484 189403357 223840331 378806714 447680662 757613428 895361324 2462243641 4924487282 9848974564