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45065661984 = 25337234761113
BaseRepresentation
bin101001111110000111…
…110110111000100000
311022022200222211101000
4221332013312320200
51214243302140414
632411453312000
73153524543430
oct517607667040
9138280884330
1045065661984
1118126433952
128898495600
1343326c12a5
1422772822c0
15128b5adb09
hexa7e1f6e20

45065661984 has 768 divisors, whose sum is σ = 164149493760. Its totient is φ = 11751505920.

The previous prime is 45065661983. The next prime is 45065662027. The reversal of 45065661984 is 48916656054.

45065661984 is a `hidden beast` number, since 4 + 506 + 56 + 6 + 1 + 9 + 84 = 666.

It is a super-2 number, since 2×450656619842 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 45065661984.

It is not an unprimeable number, because it can be changed into a prime (45065661983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 398811112 + ... + 398811224.

It is an arithmetic number, because the mean of its divisors is an integer number (213736320).

Almost surely, 245065661984 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 45065661984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82074746880).

45065661984 is an abundant number, since it is smaller than the sum of its proper divisors (119083831776).

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

45065661984 is a wasteful number, since it uses less digits than its factorization.

45065661984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 45065661984 in words is "forty-five billion, sixty-five million, six hundred sixty-one thousand, nine hundred eighty-four".