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45520548480 = 273551124159
BaseRepresentation
bin101010011001001111…
…000111001010000000
311100111101221110100000
4222121033013022000
51221211230022410
632524543200000
73201020164221
oct523117071200
9140441843300
1045520548480
111833a187900
1289a48a6000
1343a5a0c1b4
1422bb853248
1512b64b4dc0
hexa993c7280

45520548480 has 1152 divisors, whose sum is σ = 186657307200. Its totient is φ = 10583654400.

The previous prime is 45520548433. The next prime is 45520548503. The reversal of 45520548480 is 8484502554.

45520548480 is a `hidden beast` number, since 4 + 5 + 5 + 20 + 548 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 771534691 + ... + 771534749.

Almost surely, 245520548480 is an apocalyptic number.

45520548480 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 45520548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93328653600).

45520548480 is an abundant number, since it is smaller than the sum of its proper divisors (141136758720).

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

45520548480 is a wasteful number, since it uses less digits than its factorization.

45520548480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 45.

The spelling of 45520548480 in words is "forty-five billion, five hundred twenty million, five hundred forty-eight thousand, four hundred eighty".