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83381525316 = 223210322486927
BaseRepresentation
bin100110110100111101…
…1010001101101000100
321222020000001100200100
41031221323101231010
52331231132302231
6102145511244100
76011162161665
oct1155173215504
9258200040610
1083381525316
11323a8774101
12141b0379630
137b2a88c87b
14406dcd736c
1522802c71e6
hex1369ed1b44

83381525316 has 36 divisors (see below), whose sum is σ = 212816286592. Its totient is φ = 27523997424.

The previous prime is 83381525309. The next prime is 83381525317. The reversal of 83381525316 is 61352518338.

83381525316 is a `hidden beast` number, since 8 + 3 + 381 + 5 + 253 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (83381525317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11239756 + ... + 11247171.

Almost surely, 283381525316 is an apocalyptic number.

It is an amenable number.

83381525316 is an abundant number, since it is smaller than the sum of its proper divisors (129434761276).

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

83381525316 is a wasteful number, since it uses less digits than its factorization.

83381525316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22487040 (or 22487035 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 83381525316 in words is "eighty-three billion, three hundred eighty-one million, five hundred twenty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 309 412 618 927 1236 1854 3708 22486927 44973854 67460781 89947708 134921562 202382343 269843124 404764686 809529372 2316153481 4632306962 6948460443 9264613924 13896920886 20845381329 27793841772 41690762658 83381525316