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45369316080 = 243351123611361
BaseRepresentation
bin101010010000001110…
…001101001011110000
311100002212101001111000
4222100032031023300
51220404021103310
632501541522000
73164202552354
oct522016151360
9140085331430
1045369316080
1118271883750
128962113300
13438059b37a
1422a5727464
1512a80904c0
hexa9038d2f0

45369316080 has 640 divisors, whose sum is σ = 180939847680. Its totient is φ = 10340352000.

The previous prime is 45369316063. The next prime is 45369316099. The reversal of 45369316080 is 8061396354.

45369316080 is a `hidden beast` number, since 4 + 5 + 3 + 6 + 9 + 31 + 608 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33334600 + ... + 33335960.

It is an arithmetic number, because the mean of its divisors is an integer number (282718512).

Almost surely, 245369316080 is an apocalyptic number.

45369316080 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 45369316080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90469923840).

45369316080 is an abundant number, since it is smaller than the sum of its proper divisors (135570531600).

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

45369316080 is a wasteful number, since it uses less digits than its factorization.

45369316080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 45369316080 in words is "forty-five billion, three hundred sixty-nine million, three hundred sixteen thousand, eighty".