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963083663213 = 7317795120773
BaseRepresentation
bin11100000001111000100…
…00100111011101101101
310102001212221211012200012
432000330100213131231
5111234343404210323
62014233505143005
7126403053032000
oct16007420473555
93361787735605
10963083663213
11341494690751
1213679a92aa65
136ca84041389
143488361d537
151a0ba84c678
hexe03c42776d

963083663213 has 32 divisors (see below), whose sum is σ = 1189402905600. Its totient is φ = 776806329600.

The previous prime is 963083663209. The next prime is 963083663263. The reversal of 963083663213 is 312366380369.

963083663213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 963083663213 - 22 = 963083663209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963083663263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46351895 + ... + 46372667.

It is an arithmetic number, because the mean of its divisors is an integer number (37168840800).

Almost surely, 2963083663213 is an apocalyptic number.

It is an amenable number.

963083663213 is a deficient number, since it is larger than the sum of its proper divisors (226319242387).

963083663213 is a wasteful number, since it uses less digits than its factorization.

963083663213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28762 (or 28748 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 50.

The spelling of 963083663213 in words is "nine hundred sixty-three billion, eighty-three million, six hundred sixty-three thousand, two hundred thirteen".

Divisors: 1 7 17 49 119 343 833 5831 7951 20773 55657 135167 145411 353141 389599 946169 1017877 2471987 2727193 6623183 7125139 17303909 46362281 121127363 165166123 1156162861 2807824091 8093140027 19654768637 56651980189 137583380459 963083663213