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452452055040 = 2113452337641
BaseRepresentation
bin1101001010110000011…
…11100111100000000000
31121020212011100211210000
412211120033213200000
524403110211230130
6543504213440000
744455120004166
oct6453017474000
91536764324700
10452452055040
1116497a431717
1273831340000
13338873c15bb
1417c82423236
15bb81698260
hex69583e7800

452452055040 has 960 divisors, whose sum is σ = 1740685826880. Its totient is φ = 112113745920.

The previous prime is 452452055023. The next prime is 452452055047. The reversal of 452452055040 is 40550254254.

452452055040 is a `hidden beast` number, since 4 + 5 + 2 + 45 + 20 + 550 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 452452054986 and 452452055004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452452055047) 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, 705853120 + ... + 705853760.

It is an arithmetic number, because the mean of its divisors is an integer number (1813214403).

Almost surely, 2452452055040 is an apocalyptic number.

452452055040 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 452452055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870342913440).

452452055040 is an abundant number, since it is smaller than the sum of its proper divisors (1288233771840).

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

452452055040 is a wasteful number, since it uses less digits than its factorization.

452452055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

The spelling of 452452055040 in words is "four hundred fifty-two billion, four hundred fifty-two million, fifty-five thousand, forty".