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1005045455052 = 223227917929307
BaseRepresentation
bin11101010000000010110…
…00001001100011001100
310120002012100100002122200
432220001120021203030
5112431313114030202
62045413404041500
7132416651261352
oct16500130114314
93502170302580
101005045455052
11358267a59a61
1214294b833290
1373a10680bc2
143690457b7d2
151b22469ae1c
hexea016098cc

1005045455052 has 18 divisors (see below), whose sum is σ = 2540531567028. Its totient is φ = 335015151672.

The previous prime is 1005045455033. The next prime is 1005045455053. The reversal of 1005045455052 is 2505545405001.

1005045455052 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 0 + 4 + 54 + 550 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 27917929307 = 1005045455052 / (1 + 0 + 0 + 5 + 0 + 4 + 5 + 4 + 5 + 5 + 0 + 5 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 1005045454998 and 1005045455016.

It is not an unprimeable number, because it can be changed into a prime (1005045455053) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13958964618 + ... + 13958964689.

Almost surely, 21005045455052 is an apocalyptic number.

1005045455052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005045455052 is an abundant number, since it is smaller than the sum of its proper divisors (1535486111976).

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

1005045455052 is a wasteful number, since it uses less digits than its factorization.

1005045455052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27917929317 (or 27917929312 counting only the distinct ones).

The product of its (nonzero) digits is 100000, while the sum is 36.

The spelling of 1005045455052 in words is "one trillion, five billion, forty-five million, four hundred fifty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 27917929307 55835858614 83753787921 111671717228 167507575842 251261363763 335015151684 502522727526 1005045455052