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966476428240 = 24534313352081
BaseRepresentation
bin11100001000001100111…
…10111111001111010000
310102101122101220112100011
432010012132333033100
5111313320431200430
62015554304004304
7126553121044141
oct16040636771720
93371571815304
10966476428240
11342975825294
12137387000694
13701a4c0304b
1434ac6065ac8
151a21862622a
hexe1067bf3d0

966476428240 has 40 divisors (see below), whose sum is σ = 2247129565128. Its totient is φ = 386578206720.

The previous prime is 966476428219. The next prime is 966476428241. The reversal of 966476428240 is 42824674669.

It can be written as a sum of positive squares in 4 ways, for example, as 171055033744 + 795421394496 = 413588^2 + 891864^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966476428241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2569000 + ... + 2921080.

Almost surely, 2966476428240 is an apocalyptic number.

It is an amenable number.

966476428240 is an abundant number, since it is smaller than the sum of its proper divisors (1280653136888).

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

966476428240 is a wasteful number, since it uses less digits than its factorization.

966476428240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386407 (or 386401 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 58.

The spelling of 966476428240 in words is "nine hundred sixty-six billion, four hundred seventy-six million, four hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 34313 68626 137252 171565 274504 343130 352081 549008 686260 704162 1372520 1408324 1760405 2745040 2816648 3520810 5633296 7041620 14083240 28166480 12080955353 24161910706 48323821412 60404776765 96647642824 120809553530 193295285648 241619107060 483238214120 966476428240