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BaseRepresentation
bin11100010010100101111…
…11101011110001111110
310102221001012001010011120
432021102333223301332
5111411232042110011
62022320024531410
7130141300316616
oct16112277536176
93387035033146
10972055035006
113452787a9100
12138483320b66
13708838a9bb3
1435094d01a46
151a443271a06
hexe252febc7e

972055035006 has 96 divisors (see below), whose sum is σ = 2194451481600. Its totient is φ = 286736049600.

The previous prime is 972055035001. The next prime is 972055035019. The reversal of 972055035006 is 600530550279.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972055035001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3952780 + ... + 4191488.

It is an arithmetic number, because the mean of its divisors is an integer number (22858869600).

Almost surely, 2972055035006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972055035006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097225740800).

972055035006 is an abundant number, since it is smaller than the sum of its proper divisors (1222396446594).

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

972055035006 is a wasteful number, since it uses less digits than its factorization.

972055035006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238886 (or 238875 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 42.

The spelling of 972055035006 in words is "nine hundred seventy-two billion, fifty-five million, thirty-five thousand, six".