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1145777364 = 223231827149
BaseRepresentation
bin100010001001011…
…0010110011010100
32221211222112001200
41010102302303110
54321304333424
6305405552500
740251642534
oct10422626324
92854875050
101145777364
11538841546
1227b875730
131534bb094
14ac2574c4
156a8c98c9
hex444b2cd4

1145777364 has 18 divisors (see below), whose sum is σ = 2896270650. Its totient is φ = 381925776.

The previous prime is 1145777357. The next prime is 1145777429. The reversal of 1145777364 is 4637775411.

1145777364 is a `hidden beast` number, since 1 + 1 + 4 + 577 + 73 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1136229264 + 9548100 = 33708^2 + 3090^2 .

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15913539 + ... + 15913610.

It is an arithmetic number, because the mean of its divisors is an integer number (160903925).

Almost surely, 21145777364 is an apocalyptic number.

It is an amenable number.

1145777364 is an abundant number, since it is smaller than the sum of its proper divisors (1750493286).

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

1145777364 is a wasteful number, since it uses less digits than its factorization.

1145777364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31827159 (or 31827154 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 1145777364 is about 33849.3332873781. Note that the first 3 decimals coincide. The cubic root of 1145777364 is about 1046.4056582508.

The spelling of 1145777364 in words is "one billion, one hundred forty-five million, seven hundred seventy-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 31827149 63654298 95481447 127308596 190962894 286444341 381925788 572888682 1145777364