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5282274816 = 293371321719
BaseRepresentation
bin1001110101101100…
…10001111000000000
3111122010112100211000
410322312101320000
541304230243231
62232053252000
7244620411060
oct47266217000
914563470730
105282274816
112270785285
121035034000
13662491800
1438177d3a0
1520db136e6
hex13ad91e00

5282274816 has 960 divisors, whose sum is σ = 21566476800. Its totient is φ = 1242169344.

The previous prime is 5282274787. The next prime is 5282274883. The reversal of 5282274816 is 6184722825.

Its product of digits (430080) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 278014455 + ... + 278014473.

It is an arithmetic number, because the mean of its divisors is an integer number (22465080).

Almost surely, 25282274816 is an apocalyptic number.

5282274816 is a gapful number since it is divisible by the number (56) 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 5282274816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10783238400).

5282274816 is an abundant number, since it is smaller than the sum of its proper divisors (16284201984).

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

5282274816 is a wasteful number, since it uses less digits than its factorization.

5282274816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 61 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 5282274816 is about 72679.2598751528. The cubic root of 5282274816 is about 1741.5675766350.

The spelling of 5282274816 in words is "five billion, two hundred eighty-two million, two hundred seventy-four thousand, eight hundred sixteen".