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1050055006 = 272111374929
BaseRepresentation
bin111110100101101…
…001000101011110
32201011212022200011
4332211221011132
54122303230011
6252110153434
735010214600
oct7645510536
92634768604
101050055006
11499801960
122537b287a
13139714630
149d65b170
15622bc621
hex3e96915e

1050055006 has 48 divisors (see below), whose sum is σ = 2152589040. Its totient is φ = 377637120.

The previous prime is 1050054989. The next prime is 1050055043. The reversal of 1050055006 is 6005500501.

It is a super-2 number, since 2×10500550062 = 2205231031251320072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 23451 + ... + 51478.

It is an arithmetic number, because the mean of its divisors is an integer number (44845605).

Almost surely, 21050055006 is an apocalyptic number.

1050055006 is an abundant number, since it is smaller than the sum of its proper divisors (1102534034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1050055006 is a wasteful number, since it uses less digits than its factorization.

1050055006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74969 (or 74962 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 1050055006 is about 32404.5522419305. The cubic root of 1050055006 is about 1016.4141050440.

Multiplying 1050055006 by its sum of digits (22), we get a palindrome (23101210132).

Adding to 1050055006 its reverse (6005500501), we get a palindrome (7055555507).

It can be divided in two parts, 105005 and 5006, that added together give a palindrome (110011).

The spelling of 1050055006 in words is "one billion, fifty million, fifty-five thousand, six".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 182 286 539 637 1001 1078 1274 2002 7007 14014 74929 149858 524503 824219 974077 1049006 1648438 1948154 3671521 5769533 6818539 7343042 10714847 11539066 13637078 21429694 40386731 47729773 75003929 80773462 95459546 150007858 525027503 1050055006