Search a number
-
+
540103515535 = 52373337190909
BaseRepresentation
bin1111101110000001010…
…11011001110110001111
31220122002202001101100201
413313000223121312033
532322112444444120
61052041540434331
754010161063613
oct7670053316617
91818082041321
10540103515535
11199069399271
12888136a89a7
133bc157a501c
141c1d9459343
15e0b176640a
hex7dc0ad9d8f

540103515535 has 32 divisors (see below), whose sum is σ = 687605892480. Its totient is φ = 406423277568.

The previous prime is 540103515461. The next prime is 540103515559. The reversal of 540103515535 is 535515301045.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-540103515535 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540103515494 and 540103515503.

It is a congruent number.

It is an unprimeable number.

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, 2733661 + ... + 2924569.

It is an arithmetic number, because the mean of its divisors is an integer number (21487684140).

Almost surely, 2540103515535 is an apocalyptic number.

540103515535 is a deficient number, since it is larger than the sum of its proper divisors (147502376945).

540103515535 is a wasteful number, since it uses less digits than its factorization.

540103515535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191347.

The product of its (nonzero) digits is 112500, while the sum is 37.

The spelling of 540103515535 in words is "five hundred forty billion, one hundred three million, five hundred fifteen thousand, five hundred thirty-five".

Divisors: 1 5 23 73 115 337 365 1679 1685 7751 8395 24601 38755 123005 190909 565823 954545 2829115 4390907 13936357 21954535 64336333 69681785 320536211 321681665 1479735659 1602681055 4696552309 7398678295 23482761545 108020703107 540103515535