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9089091648 = 263471319267
BaseRepresentation
bin10000111011100000…
…01000100001000000
3212110102201200210000
420131300020201000
5122103301413043
64101522440000
7441144001320
oct103560104100
925412650700
109089091648
11394461209a
121917b03000
13b1b074950
146231a7280
15382e292d3
hex21dc08840

9089091648 has 280 divisors, whose sum is σ = 33162231872. Its totient is φ = 2396998656.

The previous prime is 9089091629. The next prime is 9089091679. The reversal of 9089091648 is 8461909809.

It is a super-2 number, since 2×90890916482 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9089091594 and 9089091603.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 462111 + ... + 481377.

Almost surely, 29089091648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9089091648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16581115936).

9089091648 is an abundant number, since it is smaller than the sum of its proper divisors (24073140224).

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

9089091648 is a wasteful number, since it uses less digits than its factorization.

9089091648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19311 (or 19292 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 9089091648 is about 95336.7276971472. The cubic root of 9089091648 is about 2086.9249320979.

The spelling of 9089091648 in words is "nine billion, eighty-nine million, ninety-one thousand, six hundred forty-eight".