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316885472640 = 273251117674391
BaseRepresentation
bin1001001110001111101…
…10001001010110000000
31010021221021220220122200
410213013312021112000
520142440140111030
6401324123233200
731615501034502
oct4470766112600
91107837826580
10316885472640
11112432651870
12514b8378800
1323b61193039
14114a192bd72
158399cb1d60
hex49c7d89580

316885472640 has 768 divisors, whose sum is σ = 1283097853440. Its totient is φ = 71206502400.

The previous prime is 316885472599. The next prime is 316885472677. The reversal of 316885472640 is 46274588613.

It is a happy number.

316885472640 is a `hidden beast` number, since 3 + 16 + 88 + 547 + 2 + 6 + 4 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 72164845 + ... + 72169235.

It is an arithmetic number, because the mean of its divisors is an integer number (1670700330).

Almost surely, 2316885472640 is an apocalyptic number.

316885472640 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 316885472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641548926720).

316885472640 is an abundant number, since it is smaller than the sum of its proper divisors (966212380800).

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

316885472640 is a wasteful number, since it uses less digits than its factorization.

316885472640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4511 (or 4496 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 316885472640 in words is "three hundred sixteen billion, eight hundred eighty-five million, four hundred seventy-two thousand, six hundred forty".