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98854276921 = 592734
BaseRepresentation
bin101110000010000101…
…1001000111100111001
3100110011022202120122121
41130010023020330321
53104423143330141
6113225114121241
710066462326661
oct1340413107471
9313138676577
1098854276921
1138a18731424
12171aa120221
1394253402aa
144adac1d1a1
1528888711d1
hex17042c8f39

98854276921 has 15 divisors (see below), whose sum is σ = 101954812601. Its totient is φ = 95847564528.

The previous prime is 98854276909. The next prime is 98854276949. The reversal of 98854276921 is 12967245889.

The square root of 98854276921 is 314411.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1809566521 + 97044710400 = 42539^2 + 311520^2 .

It is not a de Polignac number, because 98854276921 - 27 = 98854276793 is a prime.

It is a super-3 number, since 3×988542769213 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 98854276921.

It is not an unprimeable number, because it can be changed into a prime (98854276951) 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 14 ways as a sum of consecutive naturals, for example, 1354168141 + ... + 1354168213.

Almost surely, 298854276921 is an apocalyptic number.

98854276921 is the 314411-st square number.

98854276921 is the 157206-th centered octagonal number.

It is an amenable number.

98854276921 is a deficient number, since it is larger than the sum of its proper divisors (3100535680).

98854276921 is an frugal number, since it uses more digits than its factorization.

98854276921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 132 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 61.

The spelling of 98854276921 in words is "ninety-eight billion, eight hundred fifty-four million, two hundred seventy-six thousand, nine hundred twenty-one".

Divisors: 1 59 73 3481 4307 5329 254113 314411 389017 18550249 22952003 28398241 1354168177 1675496219 98854276921