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970082237952 = 29331747711237
BaseRepresentation
bin11100001110111010110…
…10000011111000000000
310102201221200212122101000
432013131122003320000
5111343212023103302
62021352153012000
7130041353653662
oct16073532037000
93381850778330
10970082237952
11344456151513
121380126b4000
137062ac68669
1434d48cc8532
151a379e8431c
hexe1dd683e00

970082237952 has 640 divisors, whose sum is σ = 3151392583680. Its totient is φ = 293431541760.

The previous prime is 970082237909. The next prime is 970082237953. The reversal of 970082237952 is 259732280079.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970082237953) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 784221078 + ... + 784222314.

It is an arithmetic number, because the mean of its divisors is an integer number (4924050912).

Almost surely, 2970082237952 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 970082237952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575696291840).

970082237952 is an abundant number, since it is smaller than the sum of its proper divisors (2181310345728).

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

970082237952 is a wasteful number, since it uses less digits than its factorization.

970082237952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 970082237952 in words is "nine hundred seventy billion, eighty-two million, two hundred thirty-seven thousand, nine hundred fifty-two".