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1454660064 = 253211213319
BaseRepresentation
bin101011010110100…
…0101100111100000
310202101012101110200
41112231011213200
510434343110224
6400202225200
751022256304
oct12655054740
93671171420
101454660064
11687132700
123471b5200
131a24a9000
14db29dd04
1587a905c9
hex56b459e0

1454660064 has 432 divisors, whose sum is σ = 5184925200. Its totient is φ = 385482240.

The previous prime is 1454660059. The next prime is 1454660087. The reversal of 1454660064 is 4600664541.

1454660064 is a `hidden beast` number, since 1 + 4 + 5 + 46 + 600 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76561047 + ... + 76561065.

Almost surely, 21454660064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1454660064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592462600).

1454660064 is an abundant number, since it is smaller than the sum of its proper divisors (3730265136).

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

1454660064 is a wasteful number, since it uses less digits than its factorization.

1454660064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1454660064 is about 38140.0060828522. The cubic root of 1454660064 is about 1133.0624278292.

The spelling of 1454660064 in words is "one billion, four hundred fifty-four million, six hundred sixty thousand, sixty-four".