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72998853489 = 3211327972
BaseRepresentation
bin100001111111100010…
…0100001101101110001
320222102102012222111100
41003333010201231301
52144000201302424
653311334435013
75162660005512
oct1037704415561
9228372188440
1072998853489
1128a5aa4a091
1212193202a69
136b6481a083
143767000a09
151d73a29dc9
hex10ff121b71

72998853489 has 27 divisors (see below), whose sum is σ = 106517816353. Its totient is φ = 48174709632.

The previous prime is 72998853479. The next prime is 72998853491. The reversal of 72998853489 is 98435889927.

The square root of 72998853489 is 270183.

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

72998853489 is a `hidden beast` number, since 7 + 2 + 9 + 9 + 8 + 8 + 534 + 89 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27961525089 + 45037328400 = 167217^2 + 212220^2 .

It is not a de Polignac number, because 72998853489 - 29 = 72998852977 is a prime.

It is a super-2 number, since 2×729988534892 (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 (72998853419) 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 26 ways as a sum of consecutive naturals, for example, 91591639 + ... + 91592435.

Almost surely, 272998853489 is an apocalyptic number.

72998853489 is the 270183-rd square number.

72998853489 is the 135092-nd centered octagonal number.

It is an amenable number.

72998853489 is a deficient number, since it is larger than the sum of its proper divisors (33518962864).

72998853489 is an frugal number, since it uses more digits than its factorization.

72998853489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 913 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 72.

The spelling of 72998853489 in words is "seventy-two billion, nine hundred ninety-eight million, eight hundred fifty-three thousand, four hundred eighty-nine".

Divisors: 1 3 9 113 339 797 1017 2391 7173 12769 38307 90061 114921 270183 635209 810549 1905627 5716881 10176893 30530679 71778617 91592037 215335851 646007553 8110983721 24332951163 72998853489