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318990293374368 = 253721189151647709
BaseRepresentation
bin100100010000111101011011…
…1000111111001010110100000
31112211110011201000020222212210
41020201322313013321112200
5313302314110100434433
63050234041233122120
7124122200561013600
oct11041726707712640
91484404630228783
10318990293374368
1192705029606110
122b93a5579b9340
13108cb86a450955
1458ab2d9454c00
1526d2a09c21463
hex1221eb71f95a0

318990293374368 has 1152 divisors, whose sum is σ = 1084865989939200. Its totient is φ = 81140742144000.

The previous prime is 318990293374367. The next prime is 318990293374387. The reversal of 318990293374368 is 863473392099813.

It is a self number, because there is not a number n which added to its sum of digits gives 318990293374368.

It is not an unprimeable number, because it can be changed into a prime (318990293374367) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 449915787198 + ... + 449915787906.

It is an arithmetic number, because the mean of its divisors is an integer number (941723949600).

Almost surely, 2318990293374368 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 318990293374368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542432994969600).

318990293374368 is an abundant number, since it is smaller than the sum of its proper divisors (765875696564832).

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

318990293374368 is a wasteful number, since it uses less digits than its factorization.

318990293374368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 1269789696, while the sum is 75.

The spelling of 318990293374368 in words is "three hundred eighteen trillion, nine hundred ninety billion, two hundred ninety-three million, three hundred seventy-four thousand, three hundred sixty-eight".