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84498931969 = 31293772
BaseRepresentation
bin100111010110010000…
…1110110000100000001
322002002212122111102221
41032230201312010001
52341023211310334
6102452425211041
76050651033224
oct1165441660401
9262085574387
1084498931969
1132921498281
1214462630a81
137c7822643a
1441384875bb
1522e844a8b4
hex13ac876101

84498931969 has 9 divisors (see below), whose sum is σ = 87321944451. Its totient is φ = 81764439360.

The previous prime is 84498931927. The next prime is 84498931991. The reversal of 84498931969 is 96913989448.

The square root of 84498931969 is 290687.

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., 9265025025 + 75233906944 = 96255^2 + 274288^2 .

It is not a de Polignac number, because 84498931969 - 27 = 84498931841 is a prime.

It is a super-2 number, since 2×844989319692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 84498931898 and 84498931907.

It is not an unprimeable number, because it can be changed into a prime (84498931169) 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, 9006609 + ... + 9015985.

Almost surely, 284498931969 is an apocalyptic number.

84498931969 is the 290687-th square number.

84498931969 is the 145344-th centered octagonal number.

It is an amenable number.

84498931969 is a deficient number, since it is larger than the sum of its proper divisors (2823012482).

84498931969 is an frugal number, since it uses more digits than its factorization.

84498931969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18816 (or 9408 counting only the distinct ones).

The product of its digits is 120932352, while the sum is 70.

The spelling of 84498931969 in words is "eighty-four billion, four hundred ninety-eight million, nine hundred thirty-one thousand, nine hundred sixty-nine".

Divisors: 1 31 961 9377 290687 9011297 87928129 2725771999 84498931969