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9049631040 = 2637567193
BaseRepresentation
bin10000110110110011…
…00110100101000000
3212100200110220000000
420123121212211000
5122013201143130
64053553000000
7440154410652
oct103331464500
925320426000
109049631040
11392430a81a
121906853000
13b12b39788
1461bc546d2
1537e732260
hex21b666940

9049631040 has 448 divisors, whose sum is σ = 32971557120. Its totient is φ = 2364899328.

The previous prime is 9049631033. The next prime is 9049631053. The reversal of 9049631040 is 401369409.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 9049630986 and 9049631004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46889184 + ... + 46889376.

Almost surely, 29049631040 is an apocalyptic number.

9049631040 is a gapful number since it is divisible by the number (90) 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 9049631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16485778560).

9049631040 is an abundant number, since it is smaller than the sum of its proper divisors (23921926080).

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

9049631040 is an equidigital number, since it uses as much as digits as its factorization.

9049631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9049631040 is about 95129.5487217300. The cubic root of 9049631040 is about 2083.9003983967.

The spelling of 9049631040 in words is "nine billion, forty-nine million, six hundred thirty-one thousand, forty".