Search a number
-
+
540931658193 = 3341651481009
BaseRepresentation
bin1111101111100100000…
…10100001000111010001
31220201020110100101112000
413313302002201013101
532330312001030233
61052300042424213
754036535141653
oct7676202410721
91821213311460
10540931658193
11199453901093
1288a04b02069
133c01822c674
141c27742c6d3
15e10e2ebd13
hex7df20a11d1

540931658193 has 16 divisors (see below), whose sum is σ = 801401140800. Its totient is φ = 360611697600.

The previous prime is 540931658177. The next prime is 540931658203. The reversal of 540931658193 is 391856139045.

540931658193 is a `hidden beast` number, since 5 + 40 + 9 + 3 + 16 + 581 + 9 + 3 = 666.

It is not a de Polignac number, because 540931658193 - 24 = 540931658177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (540931658123) 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 15 ways as a sum of consecutive naturals, for example, 884073 + ... + 1365081.

It is an arithmetic number, because the mean of its divisors is an integer number (50087571300).

Almost surely, 2540931658193 is an apocalyptic number.

It is an amenable number.

540931658193 is a deficient number, since it is larger than the sum of its proper divisors (260469482607).

540931658193 is a wasteful number, since it uses less digits than its factorization.

540931658193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522669 (or 522663 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 540931658193 in words is "five hundred forty billion, nine hundred thirty-one million, six hundred fifty-eight thousand, one hundred ninety-three".

Divisors: 1 3 9 27 41651 124953 374859 481009 1124577 1443027 4329081 12987243 20034505859 60103517577 180310552731 540931658193