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54136246581 = 32171033898831
BaseRepresentation
bin110010011010110001…
…011001000100110101
312011201211220021020200
4302122301121010311
51341332334342311
640511515351113
73624355334454
oct623261310465
9164654807220
1054136246581
1120a6055535a
12a5aa152499
135149986201
142897bccb9b
15161ca7e556
hexc9ac59135

54136246581 has 48 divisors (see below), whose sum is σ = 83824865280. Its totient is φ = 33547783680.

The previous prime is 54136246529. The next prime is 54136246583. The reversal of 54136246581 is 18564263145.

54136246581 is a `hidden beast` number, since 5 + 4 + 1 + 3 + 62 + 4 + 6 + 581 = 666.

It is not a de Polignac number, because 54136246581 - 26 = 54136246517 is a prime.

It is a super-2 number, since 2×541362465812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54136246583) 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 47 ways as a sum of consecutive naturals, for example, 6125836 + ... + 6134666.

It is an arithmetic number, because the mean of its divisors is an integer number (1746351360).

Almost surely, 254136246581 is an apocalyptic number.

54136246581 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

54136246581 is a deficient number, since it is larger than the sum of its proper divisors (29688618699).

54136246581 is a wasteful number, since it uses less digits than its factorization.

54136246581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9346 (or 9343 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 54136246581 in words is "fifty-four billion, one hundred thirty-six million, two hundred forty-six thousand, five hundred eighty-one".

Divisors: 1 3 9 17 51 103 153 309 389 927 1167 1751 3501 5253 6613 8831 15759 19839 26493 40067 59517 79479 120201 150127 360603 450381 681139 909593 1351143 2043417 2728779 3435259 6130251 8186337 10305777 15463081 30917331 46389243 58399403 139167729 175198209 353831677 525594627 1061495031 3184485093 6015138509 18045415527 54136246581