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969132144032 = 25132599299171
BaseRepresentation
bin11100001101001001100…
…01101111010110100000
310102122111111002212112022
432012210301233112200
5111334240312102112
62021114013121012
7130005666206603
oct16064461572640
93378444085468
10969132144032
11344008914928
121379a8489168
1370509182c00
1434c98a4c33a
151a32185ed72
hexe1a4c6f5a0

969132144032 has 72 divisors (see below), whose sum is σ = 2069492392800. Its totient is φ = 446543535360.

The previous prime is 969132144023. The next prime is 969132144067. The reversal of 969132144032 is 230441231969.

It is a super-2 number, since 2×9691321440322 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3089807 + ... + 3388977.

It is an arithmetic number, because the mean of its divisors is an integer number (28742949900).

Almost surely, 2969132144032 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 969132144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034746196400).

969132144032 is an abundant number, since it is smaller than the sum of its proper divisors (1100360248768).

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

969132144032 is a wasteful number, since it uses less digits than its factorization.

969132144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299806 (or 299785 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 44.

The spelling of 969132144032 in words is "nine hundred sixty-nine billion, one hundred thirty-two million, one hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 599 676 1198 1352 2396 2704 4792 5408 7787 9584 15574 19168 31148 62296 101231 124592 202462 249184 299171 404924 598342 809848 1196684 1619696 2393368 3239392 3889223 4786736 7778446 9573472 15556892 31113784 50559899 62227568 101119798 124455136 179203429 202239596 358406858 404479192 716813716 808958384 1433627432 1617916768 2329644577 2867254864 4659289154 5734509728 9318578308 18637156616 30285379501 37274313232 60570759002 74548626464 121141518004 242283036008 484566072016 969132144032