Search a number
-
+
318742704967608 = 2332107313617214237
BaseRepresentation
bin100100001111001010001000…
…1101101000100111110111000
31112210120111122010222202202200
41020132110101231010332320
5313234240024432430413
63045524213250230200
7124065254240204115
oct11036242155047670
91483514563882680
10318742704967608
119261a027392629
122b8ba57ab85360
13108b1400ba950c
14589d32d03d90c
1526cb3689bd573
hex121e511b44fb8

318742704967608 has 192 divisors, whose sum is σ = 875533958638560. Its totient is φ = 104747788873728.

The previous prime is 318742704967607. The next prime is 318742704967649. The reversal of 318742704967608 is 806769407247813.

318742704967608 is a `hidden beast` number, since 3 + 1 + 8 + 7 + 4 + 2 + 7 + 0 + 4 + 9 + 6 + 7 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318742704967607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1487697066 + ... + 1487911302.

Almost surely, 2318742704967608 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 318742704967608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437766979319280).

318742704967608 is an abundant number, since it is smaller than the sum of its proper divisors (556791253670952).

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

318742704967608 is a wasteful number, since it uses less digits than its factorization.

318742704967608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215286 (or 215279 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 72.

The spelling of 318742704967608 in words is "three hundred eighteen trillion, seven hundred forty-two billion, seven hundred four million, nine hundred sixty-seven thousand, six hundred eight".