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54000107181 = 32172322368813
BaseRepresentation
bin110010010010101010…
…000011111010101101
312011101100201200002200
4302102222003322231
51341043011412211
640450213412113
73621113223546
oct622252037255
9164340650080
1054000107181
11209a071a859
12a57063a039
1351276cb157
142883ab14cd
151610b3bb56
hexc92a83ead

54000107181 has 48 divisors (see below), whose sum is σ = 86566910976. Its totient is φ = 32263469568.

The previous prime is 54000107177. The next prime is 54000107243. The reversal of 54000107181 is 18170100045.

54000107181 is a `hidden beast` number, since 540 + 0 + 0 + 107 + 18 + 1 = 666.

54000107181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54000107181 - 22 = 54000107177 is a prime.

It is a super-2 number, since 2×540001071812 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54000107131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 750331 + ... + 819143.

It is an arithmetic number, because the mean of its divisors is an integer number (1803477312).

Almost surely, 254000107181 is an apocalyptic number.

54000107181 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

54000107181 is a deficient number, since it is larger than the sum of its proper divisors (32566803795).

54000107181 is a wasteful number, since it uses less digits than its factorization.

54000107181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69082 (or 69079 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The spelling of 54000107181 in words is "fifty-four billion, one hundred seven thousand, one hundred eighty-one".

Divisors: 1 3 9 17 23 51 69 153 207 223 391 669 1173 2007 3519 3791 5129 11373 15387 34119 46161 68813 87193 206439 261579 619317 784737 1169821 1582699 3509463 4748097 10528389 14244291 15345299 26905883 46035897 80717649 138107691 242152947 260870083 352941877 782610249 1058825631 2347830747 3176476893 6000011909 18000035727 54000107181