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83217499752 = 233191811008257
BaseRepresentation
bin100110110000000100…
…1100100011001101000
321221210120101222220110
41031200021210121220
52330412134443002
6102121331454320
76004131035232
oct1154011443150
9257716358813
1083217499752
1132324122292
12141654573a0
137b028bca1a
1440561db252
152270bc6e6c
hex1360264668

83217499752 has 64 divisors (see below), whose sum is σ = 220203547200. Its totient is φ = 26133995520.

The previous prime is 83217499751. The next prime is 83217499759. The reversal of 83217499752 is 25799471238.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 83217499692 and 83217499701.

It is not an unprimeable number, because it can be changed into a prime (83217499751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421593 + ... + 586664.

It is an arithmetic number, because the mean of its divisors is an integer number (3440680425).

Almost surely, 283217499752 is an apocalyptic number.

It is an amenable number.

83217499752 is an abundant number, since it is smaller than the sum of its proper divisors (136986047448).

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

83217499752 is a wasteful number, since it uses less digits than its factorization.

83217499752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008466 (or 1008462 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 57.

The spelling of 83217499752 in words is "eighty-three billion, two hundred seventeen million, four hundred ninety-nine thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 181 228 362 456 543 724 1086 1448 2172 3439 4344 6878 10317 13756 20634 27512 41268 82536 1008257 2016514 3024771 4033028 6049542 8066056 12099084 19156883 24198168 38313766 57470649 76627532 114941298 153255064 182494517 229882596 364989034 459765192 547483551 729978068 1094967102 1459956136 2189934204 3467395823 4379868408 6934791646 10402187469 13869583292 20804374938 27739166584 41608749876 83217499752