Search a number
-
+
11156642406404 = 22111017001358591
BaseRepresentation
bin1010001001011001101110…
…1101010010000000000100
31110111120020120222101202222
42202112123231102000010
52430242300424001104
635421142445551512
72231016666522035
oct242263355220004
943446216871688
1011156642406404
113611561870330
121302294b75598
1362c0b3b94ab1
142a7dad19aa8c
151453234b91be
hexa259bb52004

11156642406404 has 48 divisors (see below), whose sum is σ = 21513058624512. Its totient is φ = 5020260000000.

The previous prime is 11156642406383. The next prime is 11156642406409. The reversal of 11156642406404 is 40460424665111.

It is a super-3 number, since 3×111566424064043 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (11156642406409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30933149 + ... + 31291739.

It is an arithmetic number, because the mean of its divisors is an integer number (448188721344).

Almost surely, 211156642406404 is an apocalyptic number.

It is an amenable number.

11156642406404 is a deficient number, since it is larger than the sum of its proper divisors (10356416218108).

11156642406404 is a wasteful number, since it uses less digits than its factorization.

11156642406404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365708 (or 365706 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 11156642406404 in words is "eleven trillion, one hundred fifty-six billion, six hundred forty-two million, four hundred six thousand, four hundred four".

Divisors: 1 2 4 11 22 44 101 202 404 1111 2222 4444 7001 14002 28004 77011 154022 308044 358591 707101 717182 1414202 1434364 2828404 3944501 7778111 7889002 15556222 15778004 31112444 36217691 72435382 144870764 398394601 796789202 1593578404 2510495591 5020991182 10041982364 27615451501 55230903002 110461806004 253560054691 507120109382 1014240218764 2789160601601 5578321203202 11156642406404