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45060312880 = 245114173173
BaseRepresentation
bin101001111101110011…
…011100111100110000
311022022022221001210001
4221331303130330300
51214240420003010
632411142515344
73153431224402
oct517563347460
9138268831701
1045060312880
1118123410000
128896735b54
13433156a63b
14227668cb72
15128ada3c3a
hexa7dcdcf30

45060312880 has 400 divisors, whose sum is σ = 127681470720. Its totient is φ = 14719795200.

The previous prime is 45060312877. The next prime is 45060312883. The reversal of 45060312880 is 8821306054.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45060312877) and next prime (45060312883).

It is not an unprimeable number, because it can be changed into a prime (45060312883) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 617264524 + ... + 617264596.

Almost surely, 245060312880 is an apocalyptic number.

45060312880 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 45060312880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63840735360).

45060312880 is an abundant number, since it is smaller than the sum of its proper divisors (82621157840).

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

45060312880 is a wasteful number, since it uses less digits than its factorization.

45060312880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 45060312880 in words is "forty-five billion, sixty million, three hundred twelve thousand, eight hundred eighty".