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316378270080 = 27325232982349
BaseRepresentation
bin1001001101010011001…
…11010100100110000000
31010020121221112100112200
410212221213110212000
520140420314120310
6401201524153200
731600101632025
oct4465147244600
91106557470480
10316378270080
111121a2315aa4
1251396538800
1323ab0088792
141145441d54c
15836a4c49c0
hex49a99d4980

316378270080 has 384 divisors, whose sum is σ = 1179317880000. Its totient is φ = 77915701248.

The previous prime is 316378270073. The next prime is 316378270097. The reversal of 316378270080 is 80072873613.

316378270080 is a `hidden beast` number, since 3 + 1 + 6 + 378 + 270 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3800746 + ... + 3883094.

Almost surely, 2316378270080 is an apocalyptic number.

316378270080 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 316378270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589658940000).

316378270080 is an abundant number, since it is smaller than the sum of its proper divisors (862939609920).

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

316378270080 is a wasteful number, since it uses less digits than its factorization.

316378270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82426 (or 82411 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 316378270080 in words is "three hundred sixteen billion, three hundred seventy-eight million, two hundred seventy thousand, eighty".