Search a number
-
+
98970607989 = 321123713717929
BaseRepresentation
bin101110000101100011…
…0111010000101110101
3100110110102122210212200
41130023012322011311
53110142433423424
6113244431335113
710102404200421
oct1341306720565
9313412583780
1098970607989
1138a78367700
1217221081499
139443481246
144b0c461b81
152893b9e8c9
hex170b1ba175

98970607989 has 72 divisors (see below), whose sum is σ = 162569086680. Its totient is φ = 57931822080.

The previous prime is 98970607919. The next prime is 98970608003.

98970607989 is a `hidden beast` number, since 9 + 8 + 9 + 7 + 0 + 607 + 9 + 8 + 9 = 666.

98970607989 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 40124096100 + 58846511889 = 200310^2 + 242583^2 .

It is not a de Polignac number, because 98970607989 - 225 = 98937053557 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98970607919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5511177 + ... + 5529105.

Almost surely, 298970607989 is an apocalyptic number.

98970607989 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

98970607989 is a deficient number, since it is larger than the sum of its proper divisors (63598478691).

98970607989 is a wasteful number, since it uses less digits than its factorization.

98970607989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18131 (or 18117 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 72.

The spelling of 98970607989 in words is "ninety-eight billion, nine hundred seventy million, six hundred seven thousand, nine hundred eighty-nine".

Divisors: 1 3 9 11 33 37 99 111 121 137 333 363 407 411 1089 1221 1233 1507 3663 4477 4521 5069 13431 13563 15207 16577 17929 40293 45621 49731 53787 55759 149193 161361 167277 197219 501831 591657 613349 663373 1774971 1840047 1990119 2169409 2456273 5520141 5970357 6508227 7297103 7368819 19524681 21891309 22106457 27019003 65673927 80268133 81057009 90882101 240804399 243171027 272646303 297209033 722413197 817938909 891627099 999703111 2674881297 2999109333 8997327999 10996734221 32990202663 98970607989