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54061253361 = 342281292601
BaseRepresentation
bin110010010110010011…
…010100001011110001
312011112121210012220000
4302112103110023301
51341204140101421
640500240140213
73622455033363
oct622623241361
9164477705800
1054061253361
1120a22193895
12a589007669
135137289a1b
14288bc6ad33
1516161b9226
hexc964d42f1

54061253361 has 20 divisors (see below), whose sum is σ = 80793849444. Its totient is φ = 36024912000.

The previous prime is 54061253347. The next prime is 54061253387. The reversal of 54061253361 is 16335216045.

54061253361 is a `hidden beast` number, since 5 + 4 + 0 + 61 + 2 + 533 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35775452736 + 18285800625 = 189144^2 + 135225^2 .

It is not a de Polignac number, because 54061253361 - 25 = 54061253329 is a prime.

It is a super-2 number, since 2×540612533612 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (54061253341) 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 19 ways as a sum of consecutive naturals, for example, 38461 + ... + 331061.

Almost surely, 254061253361 is an apocalyptic number.

It is an amenable number.

54061253361 is a deficient number, since it is larger than the sum of its proper divisors (26732596083).

54061253361 is a wasteful number, since it uses less digits than its factorization.

54061253361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294894 (or 294885 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 54061253361 in words is "fifty-four billion, sixty-one million, two hundred fifty-three thousand, three hundred sixty-one".

Divisors: 1 3 9 27 81 2281 6843 20529 61587 184761 292601 877803 2633409 7900227 23700681 667422881 2002268643 6006805929 18020417787 54061253361