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1450520064 = 29327193233
BaseRepresentation
bin101011001110101…
…0010111000000000
310202002102001110100
41112131102320000
510432313120224
6355533402400
750642134320
oct12635227000
93662361410
101450520064
11684865214
12345939400
131a16897c6
14da903280
1587523ac9
hex56752e00

1450520064 has 240 divisors, whose sum is σ = 4829771232. Its totient is φ = 410517504.

The previous prime is 1450519981. The next prime is 1450520069. The reversal of 1450520064 is 4600250541.

1450520064 is a `hidden beast` number, since 1 + 450 + 5 + 200 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1450520069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6225292 + ... + 6225524.

Almost surely, 21450520064 is an apocalyptic number.

1450520064 is a gapful number since it is divisible by the number (14) 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 1450520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414885616).

1450520064 is an abundant number, since it is smaller than the sum of its proper divisors (3379251168).

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

1450520064 is a wasteful number, since it uses less digits than its factorization.

1450520064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1450520064 is about 38085.6936919889. The cubic root of 1450520064 is about 1131.9864981929.

The spelling of 1450520064 in words is "one billion, four hundred fifty million, five hundred twenty thousand, sixty-four".