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93782354081 = 1311363840949
BaseRepresentation
bin101011101010111011…
…1010010100010100001
322222001212001012111112
41113111313102202201
53014031240312311
6111025533153105
76530004566633
oct1272567224241
9288055035445
1093782354081
113685576a759
121621362b795
138ac761b910
144779398a53
15268d45e28b
hex15d5dd28a1

93782354081 has 8 divisors (see below), whose sum is σ = 101890156200. Its totient is φ = 85802234112.

The previous prime is 93782354053. The next prime is 93782354129. The reversal of 93782354081 is 18045328739.

It can be written as a sum of positive squares in 4 ways, for example, as 12363438481 + 81418915600 = 111191^2 + 285340^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 93782354081 - 210 = 93782353057 is a prime.

It is a super-2 number, since 2×937823540812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93782351081) 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 7 ways as a sum of consecutive naturals, for example, 31919006 + ... + 31921943.

It is an arithmetic number, because the mean of its divisors is an integer number (12736269525).

Almost surely, 293782354081 is an apocalyptic number.

It is an amenable number.

93782354081 is a deficient number, since it is larger than the sum of its proper divisors (8107802119).

93782354081 is a wasteful number, since it uses less digits than its factorization.

93782354081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63841075.

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 93782354081 in words is "ninety-three billion, seven hundred eighty-two million, three hundred fifty-four thousand, eighty-one".

Divisors: 1 13 113 1469 63840949 829932337 7214027237 93782354081