Search a number
-
+
540247742045 = 511671011451557
BaseRepresentation
bin1111101110010010100…
…01100101011001011101
31220122110210102211221022
413313021101211121131
532322411410221140
61052104132013525
754013562016224
oct7671121453135
91818423384838
10540247742045
11199132847830
1288853a612a5
133bc3963205b
141c21067dcbb
15e0be2550b5
hex7dc946565d

540247742045 has 32 divisors (see below), whose sum is σ = 724896452736. Its totient is φ = 383210784000.

The previous prime is 540247742033. The next prime is 540247742063.

540247742045 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-540247742045 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 540247741987 and 540247742005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353594 + ... + 1097963.

It is an arithmetic number, because the mean of its divisors is an integer number (22653014148).

Almost surely, 2540247742045 is an apocalyptic number.

540247742045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540247742045 is a deficient number, since it is larger than the sum of its proper divisors (184648710691).

540247742045 is a wasteful number, since it uses less digits than its factorization.

540247742045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451741.

The product of its (nonzero) digits is 1254400, while the sum is 44.

The spelling of 540247742045 in words is "five hundred forty billion, two hundred forty-seven million, seven hundred forty-two thousand, forty-five".

Divisors: 1 5 11 55 67 101 335 505 737 1111 3685 5555 6767 33835 74437 372185 1451557 7257785 15967127 79835635 97254319 146607257 486271595 733036285 1069797509 1612679827 5348987545 8063399135 9822686219 49113431095 108049548409 540247742045