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318742704967680 = 21232574322325763
BaseRepresentation
bin100100001111001010001000…
…1101101000101000000000000
31112210120111122010222202212100
41020132110101231011000000
5313234240024432431210
63045524213250230400
7124065254240204250
oct11036242155050000
91483514563882770
10318742704967680
119261a027392694
122b8ba57ab85400
13108b1400ba9566
14589d32d03d960
1526cb3689bd5c0
hex121e511b45000

318742704967680 has 1248 divisors, whose sum is σ = 1297882871341056. Its totient is φ = 70839303929856.

The previous prime is 318742704967649. The next prime is 318742704967721. The reversal of 318742704967680 is 86769407247813.

318742704967680 is a `hidden beast` number, since 3 + 1 + 8 + 7 + 4 + 2 + 70 + 496 + 7 + 68 + 0 = 666.

It is a super-2 number, since 2×3187427049676802 (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 318742704967599 and 318742704967608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12372098479 + ... + 12372124241.

It is an arithmetic number, because the mean of its divisors is an integer number (1039970249472).

Almost surely, 2318742704967680 is an apocalyptic number.

318742704967680 is a gapful number since it is divisible by the number (30) 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 318742704967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648941435670528).

318742704967680 is an abundant number, since it is smaller than the sum of its proper divisors (979140166373376).

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

318742704967680 is a wasteful number, since it uses less digits than its factorization.

318742704967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26071 (or 26046 counting only the distinct ones).

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

The spelling of 318742704967680 in words is "three hundred eighteen trillion, seven hundred forty-two billion, seven hundred four million, nine hundred sixty-seven thousand, six hundred eighty".