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540806055903 = 32432830749367
BaseRepresentation
bin1111101111010101000…
…11011000011111011111
31220200220201000010120100
413313222203120133133
532330032322242103
61052235354352143
754033451425351
oct7675243303737
91820821003510
10540806055903
11199399a13243
128898aa2b653
133bcc81c3799
141c2648950d1
15e10328b5a3
hex7dea8d87df

540806055903 has 24 divisors (see below), whose sum is σ = 799375344768. Its totient is φ = 352133206992.

The previous prime is 540806055857. The next prime is 540806055947. The reversal of 540806055903 is 309550608045.

540806055903 is a `hidden beast` number, since 54 + 0 + 8 + 0 + 6 + 0 + 5 + 590 + 3 = 666.

It is not a de Polignac number, because 540806055903 - 217 = 540805924831 is a prime.

It is a super-2 number, since 2×5408060559032 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540806055103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10930126 + ... + 10979492.

It is an arithmetic number, because the mean of its divisors is an integer number (33307306032).

Almost surely, 2540806055903 is an apocalyptic number.

540806055903 is a deficient number, since it is larger than the sum of its proper divisors (258569288865).

540806055903 is a wasteful number, since it uses less digits than its factorization.

540806055903 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77723 (or 77720 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 540806055903 in words is "five hundred forty billion, eight hundred six million, fifty-five thousand, nine hundred three".

Divisors: 1 3 9 43 129 387 28307 49367 84921 148101 254763 444303 1217201 2122781 3651603 6368343 10954809 19105029 1397431669 4192295007 12576885021 60089561767 180268685301 540806055903