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932994534048 = 253291609208283
BaseRepresentation
bin11011001001110101100…
…11101100101010100000
310022012012222211002001220
431210322303230222200
5110241233100042143
61552340050455040
7124256321455233
oct15447263545240
93265188732056
10932994534048
1132a754100655
121309a1b94480
1369c9a370835
143322b41341a
1519408eb9d83
hexd93acecaa0

932994534048 has 96 divisors (see below), whose sum is σ = 2535149534400. Its totient is φ = 300086040576.

The previous prime is 932994534041. The next prime is 932994534049. The reversal of 932994534048 is 840435499239.

932994534048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 932994533982 and 932994534000.

It is not an unprimeable number, because it can be changed into a prime (932994534041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4375315 + ... + 4583597.

It is an arithmetic number, because the mean of its divisors is an integer number (26407807650).

Almost surely, 2932994534048 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 932994534048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267574767200).

932994534048 is an abundant number, since it is smaller than the sum of its proper divisors (1602155000352).

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

932994534048 is a wasteful number, since it uses less digits than its factorization.

932994534048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209934 (or 209926 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 60.

The spelling of 932994534048 in words is "nine hundred thirty-two billion, nine hundred ninety-four million, five hundred thirty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 1609 2784 3218 4827 6436 9654 12872 19308 25744 38616 46661 51488 77232 93322 139983 154464 186644 208283 279966 373288 416566 559932 624849 746576 833132 1119864 1249698 1493152 1666264 2239728 2499396 3332528 4479456 4998792 6040207 6665056 9997584 12080414 18120621 19995168 24160828 36241242 48321656 72482484 96643312 144964968 193286624 289929936 335127347 579859872 670254694 1005382041 1340509388 2010764082 2681018776 4021528164 5362037552 8043056328 9718693063 10724075104 16086112656 19437386126 29156079189 32172225312 38874772252 58312158378 77749544504 116624316756 155499089008 233248633512 310998178016 466497267024 932994534048