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83387609216 = 2737149118169
BaseRepresentation
bin100110110101001001…
…0011111000010000000
321222020102111110012222
41031222102133002000
52331234211443331
6102150245510212
76011264661212
oct1155222370200
9258212443188
1083387609216
113240114a01a
12141b2412368
137b2bc0cb02
144070a3c5b2
152280ac9b7b
hex136a49f080

83387609216 has 64 divisors (see below), whose sum is σ = 171760095000. Its totient is φ = 40294342656.

The previous prime is 83387609189. The next prime is 83387609251. The reversal of 83387609216 is 61290678338.

It can be written as a sum of positive squares in 4 ways, for example, as 75019018816 + 8368590400 = 273896^2 + 91480^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 646580 + ... + 764748.

Almost surely, 283387609216 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 83387609216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85880047500).

83387609216 is an abundant number, since it is smaller than the sum of its proper divisors (88372485784).

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

83387609216 is a wasteful number, since it uses less digits than its factorization.

83387609216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118369 (or 118357 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 53.

The spelling of 83387609216 in words is "eighty-three billion, three hundred eighty-seven million, six hundred nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 149 296 298 592 596 1184 1192 2368 2384 4736 4768 5513 9536 11026 19072 22052 44104 88208 118169 176416 236338 352832 472676 705664 945352 1890704 3781408 4372253 7562816 8744506 15125632 17489012 17607181 34978024 35214362 69956048 70428724 139912096 140857448 279824192 281714896 559648384 563429792 651465697 1126859584 1302931394 2253719168 2605862788 5211725576 10423451152 20846902304 41693804608 83387609216