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45166481280 = 273451753967
BaseRepresentation
bin101010000100001000…
…011100111110000000
311022120201200222110000
4222010020130332000
51220000104400110
632425454240000
73156160520304
oct520410347600
9138521628400
1045166481280
1118178334988
1289061b6000
13434a56098b
142286807d04
1512953761c0
hexa8421cf80

45166481280 has 640 divisors, whose sum is σ = 174188076480. Its totient is φ = 11110514688.

The previous prime is 45166481273. The next prime is 45166481287. The reversal of 45166481280 is 8218466154.

It is a happy number.

45166481280 is a `hidden beast` number, since 4 + 5 + 166 + 481 + 2 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45166481273) and next prime (45166481287).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×451664812802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45166481287) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 46707357 + ... + 46708323.

Almost surely, 245166481280 is an apocalyptic number.

45166481280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45166481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87094038240).

45166481280 is an abundant number, since it is smaller than the sum of its proper divisors (129021595200).

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

45166481280 is a wasteful number, since it uses less digits than its factorization.

45166481280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 45166481280 in words is "forty-five billion, one hundred sixty-six million, four hundred eighty-one thousand, two hundred eighty".