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1146055644 = 223253935903
BaseRepresentation
bin100010001001111…
…0110101111011100
32221212111122210100
41010103312233130
54321342240034
6305415541100
740254212046
oct10423665734
92855448710
101146055644
11538a11628
1227b98a790
13153587946
14ac2caa96
156a932099
hex444f6bdc

1146055644 has 36 divisors (see below), whose sum is σ = 2898002016. Its totient is φ = 381883008.

The previous prime is 1146055637. The next prime is 1146055667. The reversal of 1146055644 is 4465506411.

1146055644 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 0 + 5 + 5 + 644 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×11460556443 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1146055599 and 1146055608.

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 11 ways as a sum of consecutive naturals, for example, 191197 + ... + 197099.

It is an arithmetic number, because the mean of its divisors is an integer number (80500056).

Almost surely, 21146055644 is an apocalyptic number.

It is an amenable number.

1146055644 is an abundant number, since it is smaller than the sum of its proper divisors (1751946372).

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

1146055644 is a wasteful number, since it uses less digits than its factorization.

1146055644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11306 (or 11301 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1146055644 is about 33853.4436062271. The cubic root of 1146055644 is about 1046.4903664453.

The spelling of 1146055644 in words is "one billion, one hundred forty-six million, fifty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 5393 5903 10786 11806 16179 17709 21572 23612 32358 35418 48537 53127 64716 70836 97074 106254 194148 212508 31834879 63669758 95504637 127339516 191009274 286513911 382018548 573027822 1146055644