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9814072356 = 2232112192792
BaseRepresentation
bin10010010001111011…
…01101110000100100
3221022221220112100100
421020331231300210
5130044400303411
64301501344100
7465126144564
oct111075556044
927287815310
109814072356
114186873900
121a9a868030
13c0531c50a
146915a4da4
153c68d3456
hex248f6dc24

9814072356 has 243 divisors, whose sum is σ = 29147667003. Its totient is φ = 2781773280.

The previous prime is 9814072351. The next prime is 9814072369. The reversal of 9814072356 is 6532704189.

The square root of 9814072356 is 99066.

It is a perfect power (a square), and thus also a powerful number.

9814072356 is a `hidden beast` number, since 9 + 8 + 1 + 407 + 235 + 6 = 666.

9814072356 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

9814072356 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (9814072351) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 124228725 + ... + 124228803.

It is a 1-persistent number, because it is pandigital, but 2⋅9814072356 = 19628144712 is not.

Almost surely, 29814072356 is an apocalyptic number.

9814072356 is the 99066-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9814072356

9814072356 is an abundant number, since it is smaller than the sum of its proper divisors (19333594647).

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

9814072356 is a wasteful number, since it uses less digits than its factorization.

9814072356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The cubic root of 9814072356 is about 2140.9987736004.

The spelling of 9814072356 in words is "nine billion, eight hundred fourteen million, seventy-two thousand, three hundred fifty-six".