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83188710906 = 2372377647427
BaseRepresentation
bin100110101111001101…
…1101111110111111010
321221201120020101000220
41031132123233313322
52330332302222111
6102114422440510
76003331242600
oct1153633576772
9257646211026
1083188710906
1132309949854
1214157893136
137ac99500c2
144052465870
15226d3dbe06
hex135e6efdfa

83188710906 has 48 divisors (see below), whose sum is σ = 198771948576. Its totient is φ = 23125816224.

The previous prime is 83188710901. The next prime is 83188711003. The reversal of 83188710906 is 60901788138.

It is not an unprimeable number, because it can be changed into a prime (83188710901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3812836 + ... + 3834591.

It is an arithmetic number, because the mean of its divisors is an integer number (4141082262).

Almost surely, 283188710906 is an apocalyptic number.

83188710906 is an abundant number, since it is smaller than the sum of its proper divisors (115583237670).

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

83188710906 is a wasteful number, since it uses less digits than its factorization.

83188710906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7647483 (or 7647476 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The spelling of 83188710906 in words is "eighty-three billion, one hundred eighty-eight million, seven hundred ten thousand, nine hundred six".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 147 222 259 294 518 777 1554 1813 3626 5439 10878 7647427 15294854 22942281 45884562 53531989 107063978 160595967 282954799 321191934 374723923 565909598 749447846 848864397 1124171769 1697728794 1980683593 2248343538 3961367186 5942050779 11884101558 13864785151 27729570302 41594355453 83188710906