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45663233616 = 243271121331929
BaseRepresentation
bin101010100001101111…
…011010011001010000
311100212100102121112200
4222201233122121100
51222004241433431
632551041323200
73204402036660
oct524157323120
9140770377480
1045663233616
1118402783300
128a24636500
1343c9449780
1422d27961a0
1512c3c9bee6
hexaa1bda650

45663233616 has 720 divisors, whose sum is σ = 178651898880. Its totient is φ = 10583654400.

The previous prime is 45663233611. The next prime is 45663233659. The reversal of 45663233616 is 61633236654.

45663233616 is a `hidden beast` number, since 4 + 5 + 6 + 6 + 3 + 23 + 3 + 616 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45663233611) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 49152640 + ... + 49153568.

Almost surely, 245663233616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45663233616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89325949440).

45663233616 is an abundant number, since it is smaller than the sum of its proper divisors (132988665264).

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

45663233616 is a wasteful number, since it uses less digits than its factorization.

45663233616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 996 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 45.

The spelling of 45663233616 in words is "forty-five billion, six hundred sixty-three million, two hundred thirty-three thousand, six hundred sixteen".