Search a number
-
+
1055005006005 = 32523444555689
BaseRepresentation
bin11110101101000110011…
…00101101100010110101
310201212011010001020121200
433112203030231202311
5114241122240143010
62124355042403113
7136136002406016
oct17264314554265
93655133036550
101055005006005
11377474905045
12150573060499
1378642c2a882
14390c377d00d
151c69a700cc0
hexf5a332d8b5

1055005006005 has 12 divisors (see below), whose sum is σ = 1828675343820. Its totient is φ = 562669336512.

The previous prime is 1055005005917. The next prime is 1055005006009. The reversal of 1055005006005 is 5006005005501.

1055005006005 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 0 + 0 + 50 + 0 + 600 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 797450786001 + 257554220004 = 893001^2 + 507498^2 .

It is not a de Polignac number, because 1055005006005 - 29 = 1055005005493 is a prime.

It is a super-2 number, since 2×10550050060052 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1055005006005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055005006009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11722277800 + ... + 11722277889.

It is an arithmetic number, because the mean of its divisors is an integer number (152389611985).

Almost surely, 21055005006005 is an apocalyptic number.

1055005006005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1055005006005 is a deficient number, since it is larger than the sum of its proper divisors (773670337815).

1055005006005 is a wasteful number, since it uses less digits than its factorization.

1055005006005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23444555700 (or 23444555697 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 1055005006005 in words is "one trillion, fifty-five billion, five million, six thousand, five".

Divisors: 1 3 5 9 15 45 23444555689 70333667067 117222778445 211001001201 351668335335 1055005006005