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540767934051 = 353103181118233
BaseRepresentation
bin1111101111010000100…
…01111101011001100011
31220200211001021100012220
413313220101331121203
532324443042342201
61052231513322123
754032506412052
oct7675021753143
91820731240186
10540767934051
1119937a445784
128897a106343
133bcc0336a87
141c25d7b0399
15e0eec5b036
hex7de847d663

540767934051 has 32 divisors (see below), whose sum is σ = 742210739712. Its totient is φ = 350063151360.

The previous prime is 540767934043. The next prime is 540767934059. The reversal of 540767934051 is 150439767045.

It is an interprime number because it is at equal distance from previous prime (540767934043) and next prime (540767934059).

It is not a de Polignac number, because 540767934051 - 23 = 540767934043 is a prime.

It is a super-3 number, since 3×5407679340513 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 540767933985 and 540767934003.

It is not an unprimeable number, because it can be changed into a prime (540767934059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29649631 + ... + 29667863.

It is an arithmetic number, because the mean of its divisors is an integer number (23194085616).

Almost surely, 2540767934051 is an apocalyptic number.

540767934051 is a deficient number, since it is larger than the sum of its proper divisors (201442805661).

540767934051 is a wasteful number, since it uses less digits than its factorization.

540767934051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20203.

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 540767934051 in words is "five hundred forty billion, seven hundred sixty-seven million, nine hundred thirty-four thousand, fifty-one".

Divisors: 1 3 53 103 159 309 1811 5433 5459 16377 18233 54699 95983 186533 287949 559599 966349 1877999 2899047 5633997 9886249 29658747 33019963 99059889 99533947 298601841 1750058039 3401056189 5250174117 10203168567 180255978017 540767934051