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1116094464 = 21434292
BaseRepresentation
bin100001010000110…
…0100000000000000
32212210010110210000
41002201210000000
54241210010324
6302425440000
736441434502
oct10241440000
92783113700
101116094464
11523008321
12271940000
1314a2c7534
14a832bd72
1567eb49c9
hex42864000

1116094464 has 225 divisors, whose sum is σ = 3453346897. Its totient is φ = 359202816.

The previous prime is 1116094459. The next prime is 1116094487. The reversal of 1116094464 is 4644906111.

The square root of 1116094464 is 33408.

It is a perfect power (a square), and thus also a powerful number.

1116094464 is a `hidden beast` number, since 1 + 1 + 1 + 609 + 4 + 46 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 585252864 + 530841600 = 24192^2 + 23040^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 38486002 + ... + 38486030.

Almost surely, 21116094464 is an apocalyptic number.

1116094464 is the 33408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1116094464

1116094464 is an abundant number, since it is smaller than the sum of its proper divisors (2337252433).

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

1116094464 is an frugal number, since it uses more digits than its factorization.

1116094464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 1116094464 is about 1037.2903030784.

Multiplying 1116094464 by its sum of digits (36), we get a square (40179400704 = 2004482).

1116094464 divided by its sum of digits (36) gives a square (31002624 = 55682).

Multiplying 1116094464 by its product of nonzero digits (20736), we get a square (23143334805504 = 48107522).

1116094464 divided by its product of nonzero digits (20736) gives a square (53824 = 2322).

The spelling of 1116094464 in words is "one billion, one hundred sixteen million, ninety-four thousand, four hundred sixty-four".