Search a number
-
+
83190564096 = 283108321047
BaseRepresentation
bin100110101111010001…
…0110100010100000000
321221201200201112010120
41031132202310110000
52330333241022341
6102114530300240
76003353061513
oct1153642642400
9257650645116
1083190564096
113230a9a5112
1214158427680
137aca14b773
1440527c8d7a
15226d656066
hex135e8b4500

83190564096 has 36 divisors (see below), whose sum is σ = 221408222112. Its totient is φ = 27730187776.

The previous prime is 83190564091. The next prime is 83190564097. The reversal of 83190564096 is 69046509138.

It is a super-2 number, since 2×831905640962 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83190564091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54159756 + ... + 54161291.

It is an arithmetic number, because the mean of its divisors is an integer number (6150228392).

Almost surely, 283190564096 is an apocalyptic number.

It is an amenable number.

83190564096 is an abundant number, since it is smaller than the sum of its proper divisors (138217658016).

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

83190564096 is a wasteful number, since it uses less digits than its factorization.

83190564096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108321066 (or 108321052 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 83190564096 in words is "eighty-three billion, one hundred ninety million, five hundred sixty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 108321047 216642094 324963141 433284188 649926282 866568376 1299852564 1733136752 2599705128 3466273504 5199410256 6932547008 10398820512 13865094016 20797641024 27730188032 41595282048 83190564096