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98673140528 = 2417221419967
BaseRepresentation
bin101101111100101100…
…0001010001100110000
3100102200200220220020022
41123321120022030300
53104040310444103
6113155123503012
710062132566354
oct1337130121460
9312620826208
1098673140528
1138935462a26
1217159527a68
1393c695c0b1
144ac0b4b464
1528779e1138
hex16f960a330

98673140528 has 60 divisors (see below), whose sum is σ = 203201806752. Its totient is φ = 46408074240.

The previous prime is 98673140521. The next prime is 98673140567. The reversal of 98673140528 is 82504137689.

It is a super-2 number, since 2×986731405282 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 98673140528.

It is not an unprimeable number, because it can be changed into a prime (98673140521) 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 11 ways as a sum of consecutive naturals, for example, 9895001 + ... + 9904967.

It is a 2-persistent number, because it is pandigital, and so is 2⋅98673140528 = 197346281056, but 3⋅98673140528 = 296019421584 is not.

Almost surely, 298673140528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98673140528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101600903376).

98673140528 is an abundant number, since it is smaller than the sum of its proper divisors (104528666224).

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

98673140528 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (98673140527) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (12150).

98673140528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12150 (or 12127 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 98673140528 in words is "ninety-eight billion, six hundred seventy-three million, one hundred forty thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2141 2312 4282 4624 8564 9967 17128 19934 34256 36397 39868 72794 79736 145588 159472 169439 291176 338878 582352 618749 677756 1237498 1355512 2474996 2711024 2880463 4949992 5760926 9899984 11521852 21339347 23043704 42678694 46087408 85357388 170714776 341429552 362768899 725537798 1451075596 2902151192 5804302384 6167071283 12334142566 24668285132 49336570264 98673140528