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98008441969 = 192164772
BaseRepresentation
bin101101101000111000…
…0100010010001110001
3100100222101011201020011
41123101300202101301
53101210130120334
6113005141014521
710036512003604
oct1332160422161
9310871151204
1098008441969
1138624235079
1216bb29b4441
13931c02ca39
144a5a76233b
152839493564
hex16d1c22471

98008441969 has 9 divisors (see below), whose sum is σ = 103444550667. Its totient is φ = 92844467784.

The previous prime is 98008441967. The next prime is 98008441997. The reversal of 98008441969 is 96914480089.

It is a happy number.

The square root of 98008441969 is 313063.

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., 32683216225 + 65325225744 = 180785^2 + 255588^2 .

It is not a de Polignac number, because 98008441969 - 21 = 98008441967 is a prime.

It is a super-2 number, since 2×980084419692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98008441967) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5939959 + ... + 5956435.

It is an arithmetic number, because the mean of its divisors is an integer number (11493838963).

Almost surely, 298008441969 is an apocalyptic number.

98008441969 is the 313063-rd square number.

98008441969 is the 156532-nd centered octagonal number.

It is an amenable number.

98008441969 is a deficient number, since it is larger than the sum of its proper divisors (5436108698).

98008441969 is an frugal number, since it uses more digits than its factorization.

98008441969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32992 (or 16496 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 58.

The spelling of 98008441969 in words is "ninety-eight billion, eight million, four hundred forty-one thousand, nine hundred sixty-nine".

Divisors: 1 19 361 16477 313063 5948197 271491529 5158339051 98008441969