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1050055064 = 231923319689
BaseRepresentation
bin111110100101101…
…001000110011000
32201011212022202022
4332211221012120
54122303230224
6252110154012
735010215012
oct7645510630
92634768668
101050055064
11499801a03
122537b2908
13139714676
149d65b1b2
15622bc65e
hex3e969198

1050055064 has 64 divisors (see below), whose sum is σ = 2232576000. Its totient is φ = 460373760.

The previous prime is 1050055051. The next prime is 1050055073. The reversal of 1050055064 is 4605500501.

1050055064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10500550642 = 2205231274864088192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103532 + ... + 113220.

It is an arithmetic number, because the mean of its divisors is an integer number (34884000).

Almost surely, 21050055064 is an apocalyptic number.

It is an amenable number.

1050055064 is an abundant number, since it is smaller than the sum of its proper divisors (1182520936).

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

1050055064 is a wasteful number, since it uses less digits than its factorization.

1050055064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9768 (or 9764 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 1050055064 is about 32404.5531368664. The cubic root of 1050055064 is about 1016.4141237579.

Adding to 1050055064 its reverse (4605500501), we get a palindrome (5655555565).

The spelling of 1050055064 in words is "one billion, fifty million, fifty-five thousand, sixty-four".

Divisors: 1 2 4 8 19 23 31 38 46 62 76 92 124 152 184 248 437 589 713 874 1178 1426 1748 2356 2852 3496 4712 5704 9689 13547 19378 27094 38756 54188 77512 108376 184091 222847 300359 368182 445694 600718 736364 891388 1201436 1472728 1782776 2402872 4234093 5706821 6908257 8468186 11413642 13816514 16936372 22827284 27633028 33872744 45654568 55266056 131256883 262513766 525027532 1050055064