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318019688448 = 21137112232657
BaseRepresentation
bin1001010000010110111…
…00110101100000000000
31010101212100011001020120
410220023130311200000
520202301020012243
6402032441340240
731655552515230
oct4501334654000
91111770131216
10318019688448
11112964906a00
1251774197680
1323cb2163857
141156c415cc0
158414655c83
hex4a0b735800

318019688448 has 576 divisors, whose sum is σ = 1111787389440. Its totient is φ = 78981365760.

The previous prime is 318019688417. The next prime is 318019688491. The reversal of 318019688448 is 844886910813.

It is a super-2 number, since 2×3180196884482 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 318019688391 and 318019688400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119689936 + ... + 119692592.

It is an arithmetic number, because the mean of its divisors is an integer number (1930186440).

Almost surely, 2318019688448 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 318019688448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555893694720).

318019688448 is an abundant number, since it is smaller than the sum of its proper divisors (793767700992).

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

318019688448 is a wasteful number, since it uses less digits than its factorization.

318019688448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 60.

The spelling of 318019688448 in words is "three hundred eighteen billion, nineteen million, six hundred eighty-eight thousand, four hundred forty-eight".