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318618612312 = 23371121319233189
BaseRepresentation
bin1001010001011110010…
…01100011001001011000
31010110102002010112022220
410220233021203021120
520210012331043222
6402212114344040
732006444343030
oct4505711431130
91113362115286
10318618612312
1111314199a300
125190088b020
1324079273680
14115c7b9c8c0
15844c00eb5c
hex4a2f263258

318618612312 has 1536 divisors, whose sum is σ = 1235533824000. Its totient is φ = 66239078400.

The previous prime is 318618612283. The next prime is 318618612337. The reversal of 318618612312 is 213216816813.

It is a happy number.

It is a super-2 number, since 2×3186186123122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3579984364 + ... + 3579984452.

It is an arithmetic number, because the mean of its divisors is an integer number (804384000).

Almost surely, 2318618612312 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 318618612312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617766912000).

318618612312 is an abundant number, since it is smaller than the sum of its proper divisors (916915211688).

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

318618612312 is a wasteful number, since it uses less digits than its factorization.

318618612312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

It can be divided in two parts, 318618 and 612312, that added together give a triangular number (930930 = T1364).

The spelling of 318618612312 in words is "three hundred eighteen billion, six hundred eighteen million, six hundred twelve thousand, three hundred twelve".