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45814200444 = 22321272616679
BaseRepresentation
bin101010101010101111…
…010011100001111100
311101020212111112002200
4222222233103201330
51222311413403234
633014033151500
73211214164335
oct525257234174
9141225445080
1045814200444
111847aa15981
128a670bb590
1344217c675c
14230885328c
1512d216cd99
hexaaabd387c

45814200444 has 18 divisors (see below), whose sum is σ = 115808117880. Its totient is φ = 15271400136.

The previous prime is 45814200437. The next prime is 45814200469. The reversal of 45814200444 is 44400241854.

45814200444 is a `hidden beast` number, since 4 + 5 + 8 + 1 + 4 + 200 + 444 = 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: 1272616679 = 45814200444 / (4 + 5 + 8 + 1 + 4 + 2 + 0 + 0 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 45814200399 and 45814200408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 636308304 + ... + 636308375.

Almost surely, 245814200444 is an apocalyptic number.

It is an amenable number.

45814200444 is an abundant number, since it is smaller than the sum of its proper divisors (69993917436).

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

45814200444 is a wasteful number, since it uses less digits than its factorization.

45814200444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272616689 (or 1272616684 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

The spelling of 45814200444 in words is "forty-five billion, eight hundred fourteen million, two hundred thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1272616679 2545233358 3817850037 5090466716 7635700074 11453550111 15271400148 22907100222 45814200444