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972055035006 = 231127179238709
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".

Divisors: 1 2 3 6 11 22 33 66 71 79 121 142 158 213 237 242 363 426 474 726 781 869 1562 1738 2343 2607 4686 5214 5609 8591 9559 11218 16827 17182 19118 25773 28677 33654 51546 57354 61699 123398 185097 238709 370194 477418 678689 716127 1357378 1432254 2036067 2625799 4072134 5251598 7877397 15754794 16948339 18858011 28883789 33896678 37716022 50845017 56574033 57767578 86651367 101690034 113148066 173302734 186431729 207438121 372863458 414876242 559295187 622314363 1118590374 1244628726 1338918781 2050749019 2281819331 2677837562 4016756343 4101498038 4563638662 6152247057 6845457993 8033512686 12304494114 13690915986 14728106591 29456213182 44184319773 88368639546 162009172501 324018345002 486027517503 972055035006