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83091521536 = 2185632
BaseRepresentation
bin100110101100010100…
…1000000000000000000
321221110210100122021121
41031120221000000000
52330132412142121
6102101031402024
76001041164632
oct1153051000000
9257423318247
1083091521536
1132269aa7a61
121412b223314
137ab27819ba
1440435a6a52
152264ae0141
hex1358a40000

83091521536 has 57 divisors (see below), whose sum is σ = 166478423971. Its totient is φ = 41471967232.

The previous prime is 83091521531. The next prime is 83091521567. The reversal of 83091521536 is 63512519038.

The square root of 83091521536 is 288256.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83091521492 and 83091521501.

It is not an unprimeable number, because it can be changed into a prime (83091521531) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 147586791 + ... + 147587353.

Almost surely, 283091521536 is an apocalyptic number.

83091521536 is the 288256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83091521536

83091521536 is an abundant number, since it is smaller than the sum of its proper divisors (83386902435).

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

83091521536 is an frugal number, since it uses more digits than its factorization.

83091521536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 83091521536 in words is "eighty-three billion, ninety-one million, five hundred twenty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 563 1024 1126 2048 2252 4096 4504 8192 9008 16384 18016 32768 36032 65536 72064 131072 144128 262144 288256 316969 576512 633938 1153024 1267876 2306048 2535752 4612096 5071504 9224192 10143008 18448384 20286016 36896768 40572032 73793536 81144064 147587072 162288128 324576256 649152512 1298305024 2596610048 5193220096 10386440192 20772880384 41545760768 83091521536