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1168678368 = 253511131051
BaseRepresentation
bin100010110101000…
…1001110111100000
310000110002000100000
41011222021313200
54343140201433
6311544500000
740650413364
oct10552116740
93013060300
101168678368
1154a7633a0
1228747a600
13158178a80
14b12d92a4
156c900113
hex45a89de0

1168678368 has 288 divisors, whose sum is σ = 4052909952. Its totient is φ = 326592000.

The previous prime is 1168678367. The next prime is 1168678397. The reversal of 1168678368 is 8638768611.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11686783682 = 2731618255662286848, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1168678367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1111443 + ... + 1112493.

It is an arithmetic number, because the mean of its divisors is an integer number (14072604).

Almost surely, 21168678368 is an apocalyptic number.

1168678368 is a gapful number since it is divisible by the number (18) 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 1168678368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026454976).

1168678368 is an abundant number, since it is smaller than the sum of its proper divisors (2884231584).

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

1168678368 is a wasteful number, since it uses less digits than its factorization.

1168678368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1080 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 1168678368 is about 34185.9381617647. The cubic root of 1168678368 is about 1053.3313297332.

The spelling of 1168678368 in words is "one billion, one hundred sixty-eight million, six hundred seventy-eight thousand, three hundred sixty-eight".