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1155108864 = 21237131033
BaseRepresentation
bin100010011011001…
…1001000000000000
32222111112121110210
41010312121000000
54331201440424
6310341554120
740424156220
oct10466310000
92874477423
101155108864
11543035428
12282a15940
13155407590
14ad5a6080
156b61e729
hex44d99000

1155108864 has 208 divisors, whose sum is σ = 3794333312. Its totient is φ = 304349184.

The previous prime is 1155108863. The next prime is 1155108901. The reversal of 1155108864 is 4688015511.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1155108863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1117692 + ... + 1118724.

Almost surely, 21155108864 is an apocalyptic number.

1155108864 is a gapful number since it is divisible by the number (14) 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 1155108864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897166656).

1155108864 is an abundant number, since it is smaller than the sum of its proper divisors (2639224448).

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

1155108864 is a wasteful number, since it uses less digits than its factorization.

1155108864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 39.

The square root of 1155108864 is about 33986.8925322690. The cubic root of 1155108864 is about 1049.2387116636.

The spelling of 1155108864 in words is "one billion, one hundred fifty-five million, one hundred eight thousand, eight hundred sixty-four".