Search a number
-
+
506142505545111 = 33135531383163781
BaseRepresentation
bin111001100010101010111110…
…0001111111010110110010111
32110101002202021110102221211000
41303011111330033322312113
51012320114322404420421
64552250353533114343
7211416406060550451
oct16305257417726627
92411082243387730
10506142505545111
111372aa9162aa4a6
12489259850289b3
1318956058706b36
148cdb5dc52d2d1
153d7addc52b226
hex1cc557c3fad97

506142505545111 has 16 divisors (see below), whose sum is σ = 749896076049120. Its totient is φ = 337403439838080.

The previous prime is 506142505545073. The next prime is 506142505545113. The reversal of 506142505545111 is 111545505241605.

506142505545111 is a `hidden beast` number, since 5 + 0 + 6 + 1 + 42 + 5 + 0 + 554 + 51 + 1 + 1 = 666.

It is not a de Polignac number, because 506142505545111 - 210 = 506142505544087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506142505545113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 691215960 + ... + 691947821.

It is an arithmetic number, because the mean of its divisors is an integer number (46868504753070).

Almost surely, 2506142505545111 is an apocalyptic number.

506142505545111 is a deficient number, since it is larger than the sum of its proper divisors (243753570504009).

506142505545111 is a wasteful number, since it uses less digits than its factorization.

506142505545111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383177343 (or 1383177337 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 45.

The spelling of 506142505545111 in words is "five hundred six trillion, one hundred forty-two billion, five hundred five million, five hundred forty-five thousand, one hundred eleven".

Divisors: 1 3 9 27 13553 40659 121977 365931 1383163781 4149491343 12448474029 37345422087 18746018723893 56238056171679 168714168515037 506142505545111