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45660844042380 = 223457193121032141
BaseRepresentation
bin10100110000111001111100…
…11000111010100010001100
312222200010121201200210110000
422120130332120322202030
521441101402033324010
6241040145134044300
712421613165350440
oct1230347630724214
9188603551623400
1045660844042380
11136047230a4776
125155464349690
131c62a50879a68
14b3bdd4b0a820
15542b23b857c0
hex29873e63a88c

45660844042380 has 1440 divisors, whose sum is σ = 179869156346880. Its totient is φ = 9471186662400.

The previous prime is 45660844042369. The next prime is 45660844042403. The reversal of 45660844042380 is 8324044806654.

It is a happy number.

45660844042380 is a `hidden beast` number, since 4 + 5 + 6 + 60 + 84 + 4 + 0 + 423 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 21326876110 + ... + 21326878250.

It is an arithmetic number, because the mean of its divisors is an integer number (124909136352).

Almost surely, 245660844042380 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 45660844042380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89934578173440).

45660844042380 is an abundant number, since it is smaller than the sum of its proper divisors (134208312304500).

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

45660844042380 is a wasteful number, since it uses less digits than its factorization.

45660844042380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 45660844042380 in words is "forty-five trillion, six hundred sixty billion, eight hundred forty-four million, forty-two thousand, three hundred eighty".