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9047328768 = 21132490849
BaseRepresentation
bin10000110110100001…
…10100100000000000
3212100112010220212200
420123100310200000
5122012104010033
64053431353200
7440126011542
oct103320644000
925315126780
109047328768
113922a88015
121905b22800
13b1251189a
1461b815692
1537e42a013
hex21b434800

9047328768 has 72 divisors (see below), whose sum is σ = 26130399750. Its totient is φ = 3015770112.

The previous prime is 9047328761. The next prime is 9047328769. The reversal of 9047328768 is 8678237409.

9047328768 is a `hidden beast` number, since 90 + 473 + 2 + 87 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8725054464 + 322274304 = 93408^2 + 17952^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (9047328761) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 226993 + ... + 263856.

Almost surely, 29047328768 is an apocalyptic number.

It is an amenable number.

9047328768 is an abundant number, since it is smaller than the sum of its proper divisors (17083070982).

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

9047328768 is a wasteful number, since it uses less digits than its factorization.

9047328768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490877 (or 490854 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 9047328768 is about 95117.4472323559. The cubic root of 9047328768 is about 2083.7236651344.

The spelling of 9047328768 in words is "nine billion, forty-seven million, three hundred twenty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 490849 981698 1472547 1963396 2945094 3926792 4417641 5890188 7853584 8835282 11780376 15707168 17670564 23560752 31414336 35341128 47121504 62828672 70682256 94243008 125657344 141364512 188486016 251314688 282729024 376972032 502629376 565458048 753944064 1005258752 1130916096 1507888128 2261832192 3015776256 4523664384 9047328768