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1081884672 = 21432112329
BaseRepresentation
bin100000001111100…
…0100000000000000
32210101202102202200
41000133010000000
54203430302142
6255204313200
735544603501
oct10037040000
92711672680
101081884672
11505771a70
122623a2800
131431aa35b
14a3984ba8
1564ea864c
hex407c4000

1081884672 has 360 divisors, whose sum is σ = 3680389440. Its totient is φ = 302776320.

The previous prime is 1081884631. The next prime is 1081884691. The reversal of 1081884672 is 2764881801.

1081884672 is a `hidden beast` number, since 1 + 0 + 8 + 188 + 467 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37306354 + ... + 37306382.

It is an arithmetic number, because the mean of its divisors is an integer number (10223304).

Almost surely, 21081884672 is an apocalyptic number.

1081884672 is a gapful number since it is divisible by the number (12) 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 1081884672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840194720).

1081884672 is an abundant number, since it is smaller than the sum of its proper divisors (2598504768).

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

1081884672 is a wasteful number, since it uses less digits than its factorization.

1081884672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 1081884672 is about 32892.0153228713. The cubic root of 1081884672 is about 1026.5820255928.

The spelling of 1081884672 in words is "one billion, eighty-one million, eight hundred eighty-four thousand, six hundred seventy-two".