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1216813008 = 24353974931
BaseRepresentation
bin100100010000111…
…0001011111010000
310010210122111122110
41020201301133100
54443001004013
6320424305320
742103511535
oct11041613720
93123574573
101216813008
1157494a694
1229b612240
131651300c8
14b7868d8c
1571c5c2c3
hex488717d0

1216813008 has 80 divisors (see below), whose sum is σ = 3236417856. Its totient is φ = 393768960.

The previous prime is 1216812937. The next prime is 1216813027. The reversal of 1216813008 is 8003186121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244303 + ... + 249233.

Almost surely, 21216813008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1216813008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618208928).

1216813008 is an abundant number, since it is smaller than the sum of its proper divisors (2019604848).

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

1216813008 is a wasteful number, since it uses less digits than its factorization.

1216813008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5092 (or 5086 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1216813008 is about 34882.8469021667. The cubic root of 1216813008 is about 1067.5984827979.

Adding to 1216813008 its reverse (8003186121), we get a palindrome (9219999129).

The spelling of 1216813008 in words is "one billion, two hundred sixteen million, eight hundred thirteen thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 97 106 159 194 212 291 318 388 424 582 636 776 848 1164 1272 1552 2328 2544 4656 4931 5141 9862 10282 14793 15423 19724 20564 29586 30846 39448 41128 59172 61692 78896 82256 118344 123384 236688 246768 261343 478307 522686 784029 956614 1045372 1434921 1568058 1913228 2090744 2869842 3136116 3826456 4181488 5739684 6272232 7652912 11479368 12544464 22958736 25350271 50700542 76050813 101401084 152101626 202802168 304203252 405604336 608406504 1216813008