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5450793264 = 243571983127
BaseRepresentation
bin1010001001110010…
…01000000100110000
3112001212121222200000
411010321020010300
542130400341024
62300513230000
7252034656360
oct50471100460
915055558600
105450793264
112347915724
121081562300
1368b375677
14399cc89a0
1521d7eecc9
hex144e48130

5450793264 has 480 divisors, whose sum is σ = 19412090880. Its totient is φ = 1446149376.

The previous prime is 5450793247. The next prime is 5450793311. The reversal of 5450793264 is 4623970545.

5450793264 is a `hidden beast` number, since 54 + 507 + 9 + 32 + 64 = 666.

It is a super-2 number, since 2×54507932642 = 59422294413735547392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42919569 + ... + 42919695.

It is an arithmetic number, because the mean of its divisors is an integer number (40441856).

Almost surely, 25450793264 is an apocalyptic number.

5450793264 is a gapful number since it is divisible by the number (54) 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 5450793264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9706045440).

5450793264 is an abundant number, since it is smaller than the sum of its proper divisors (13961297616).

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

5450793264 is a wasteful number, since it uses less digits than its factorization.

5450793264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 5450793264 is about 73829.4877674226. The cubic root of 5450793264 is about 1759.8942412346.

The spelling of 5450793264 in words is "five billion, four hundred fifty million, seven hundred ninety-three thousand, two hundred sixty-four".