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9136346524321 = 857235272
BaseRepresentation
bin1000010011110011100010…
…1100000110101010100001
31012100102111200211220122111
42010330320230012222201
52144142214202234241
631233102445435321
71632036120051052
oct204747054065241
935312450756574
109136346524321
112a02780479985
121036827b6bb41
1351372786a453
142382b7004729
1510c9cd7c6c81
hex84f38b06aa1

9136346524321 has 9 divisors (see below), whose sum is σ = 9149613974899. Its totient is φ = 9123098297584.

The previous prime is 9136346524301. The next prime is 9136346524369. The reversal of 9136346524321 is 1234256436319.

The square root of 9136346524321 is 3022639.

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., 8466790550625 + 669555973696 = 2909775^2 + 818264^2 .

It is not a de Polignac number, because 9136346524321 - 241 = 6937323268769 is a prime.

It is a super-2 number, since 2×91363465243212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9136346524301) 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 8 ways as a sum of consecutive naturals, for example, 2590399860 + ... + 2590403386.

Almost surely, 29136346524321 is an apocalyptic number.

9136346524321 is the 3022639-th square number.

9136346524321 is the 1511320-th centered octagonal number.

It is an amenable number.

9136346524321 is a deficient number, since it is larger than the sum of its proper divisors (13267450578).

9136346524321 is an frugal number, since it uses more digits than its factorization.

9136346524321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8768 (or 4384 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 49.

Multiplying 9136346524321 by its sum of digits (49), we get a square (447680979691729 = 211584732).

The spelling of 9136346524321 in words is "nine trillion, one hundred thirty-six billion, three hundred forty-six million, five hundred twenty-four thousand, three hundred twenty-one".

Divisors: 1 857 3527 734449 3022639 12439729 2590401623 10660847753 9136346524321