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1001055599964 = 223371324147619
BaseRepresentation
bin11101001000100111001…
…00000011110101011100
310112200220021201110102000
432210103210003311130
5112400130213144324
62043513435402300
7132216043126650
oct16442344036534
93480807643360
101001055599964
113565aa874862
121420175b3390
1373525ba1cc4
1436646708a60
151b08e27b9c9
hexe913903d5c

1001055599964 has 48 divisors (see below), whose sum is σ = 2966090668800. Its totient is φ = 286015885488.

The previous prime is 1001055599939. The next prime is 1001055599987. The reversal of 1001055599964 is 4699955501001.

1001055599964 is a `hidden beast` number, since 10 + 0 + 10 + 5 + 559 + 9 + 9 + 64 = 666.

It is a super-2 number, since 2×10010555999642 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1001055599964.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 662073054 + ... + 662074565.

It is an arithmetic number, because the mean of its divisors is an integer number (61793555600).

Almost surely, 21001055599964 is an apocalyptic number.

1001055599964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1001055599964 is an abundant number, since it is smaller than the sum of its proper divisors (1965035068836).

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

1001055599964 is a wasteful number, since it uses less digits than its factorization.

1001055599964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324147639 (or 1324147631 counting only the distinct ones).

The product of its (nonzero) digits is 2187000, while the sum is 54.

The spelling of 1001055599964 in words is "one trillion, one billion, fifty-five million, five hundred ninety-nine thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1324147619 2648295238 3972442857 5296590476 7944885714 9269033333 11917328571 15889771428 18538066666 23834657142 27807099999 35751985713 37076133332 47669314284 55614199998 71503971426 83421299997 111228399996 143007942852 166842599994 250263899991 333685199988 500527799982 1001055599964