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96975565281 = 347249432
BaseRepresentation
bin101101001010000110…
…0011011000111100001
3100021022101122010210000
41122110030123013201
53042101221042111
6112314442530213
710002100463400
oct1322414330741
9307271563700
1096975565281
11381441a6581
1216964b06969
1391b60513ba
14499d4d7637
1527c896ac56
hex169431b1e1

96975565281 has 45 divisors (see below), whose sum is σ = 168550217121. Its totient is φ = 55403398008.

The previous prime is 96975565241. The next prime is 96975565303. The reversal of 96975565281 is 18256557969.

The square root of 96975565281 is 311409.

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

96975565281 is a `hidden beast` number, since 9 + 69 + 7 + 5 + 565 + 2 + 8 + 1 = 666.

It is not a de Polignac number, because 96975565281 - 217 = 96975434209 is a prime.

It is a super-3 number, since 3×969755652813 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (96975565241) 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 44 ways as a sum of consecutive naturals, for example, 19616296 + ... + 19621238.

Almost surely, 296975565281 is an apocalyptic number.

96975565281 is the 311409-th square number.

96975565281 is the 155705-th centered octagonal number.

It is an amenable number.

96975565281 is a deficient number, since it is larger than the sum of its proper divisors (71574651840).

96975565281 is an frugal number, since it uses more digits than its factorization.

96975565281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9912 (or 4953 counting only the distinct ones).

The product of its digits is 40824000, while the sum is 63.

The spelling of 96975565281 in words is "ninety-six billion, nine hundred seventy-five million, five hundred sixty-five thousand, two hundred eighty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 4943 14829 34601 44487 103803 133461 242207 311409 400383 726621 934227 2179863 2802681 6539589 19618767 24433249 73299747 171032743 219899241 513098229 659697723 1197229201 1539294687 1979093169 3591687603 4617884061 10775062809 13853652183 32325188427 96975565281