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9028981632 = 2731131531301
BaseRepresentation
bin10000110100010101…
…10101001110000000
3212022020121210100010
420122022311032000
5121442404403012
64051534224520
7436514035416
oct103212651600
925266553303
109028981632
1139136965a0
1218bb955140
13b0b7898a8
146191db2b6
1537ca03c3c
hex21a2b5380

9028981632 has 256 divisors, whose sum is σ = 27538237440. Its totient is φ = 2595840000.

The previous prime is 9028981627. The next prime is 9028981651. The reversal of 9028981632 is 2361898209.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6939382 + ... + 6940682.

It is an arithmetic number, because the mean of its divisors is an integer number (107571240).

Almost surely, 29028981632 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 9028981632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13769118720).

9028981632 is an abundant number, since it is smaller than the sum of its proper divisors (18509255808).

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

9028981632 is a wasteful number, since it uses less digits than its factorization.

9028981632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 9028981632 is about 95020.9536470772. The cubic root of 9028981632 is about 2082.3141797442.

The spelling of 9028981632 in words is "nine billion, twenty-eight million, nine hundred eighty-one thousand, six hundred thirty-two".