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1168425216 = 28337193141
BaseRepresentation
bin100010110100100…
…1100000100000000
310000102121011002000
41011221030010000
54343104101331
6311535224000
740645310340
oct10551140400
93012534060
101168425216
1154a600182
12287378000
131580ba78a
14b1270d20
156c8a00e6
hex45a4c100

1168425216 has 576 divisors, whose sum is σ = 4395417600. Its totient is φ = 298598400.

The previous prime is 1168425211. The next prime is 1168425233. The reversal of 1168425216 is 6125248611.

It is a happy number.

1168425216 is a `hidden beast` number, since 1 + 16 + 8 + 425 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (1168425211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28498156 + ... + 28498196.

Almost surely, 21168425216 is an apocalyptic number.

1168425216 is a gapful number since it is divisible by the number (16) 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 1168425216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197708800).

1168425216 is an abundant number, since it is smaller than the sum of its proper divisors (3226992384).

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

1168425216 is a wasteful number, since it uses less digits than its factorization.

1168425216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 103 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 1168425216 is about 34182.2353862353. The cubic root of 1168425216 is about 1053.2552688323.

The spelling of 1168425216 in words is "one billion, one hundred sixty-eight million, four hundred twenty-five thousand, two hundred sixteen".