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993012701773 = 173714910595413
BaseRepresentation
bin11100111001101000010…
…10110101101001001101
310111221010202120220020211
432130310022311221031
5112232142222424043
62040103404242421
7131512531461121
oct16346412655115
93457122526224
10993012701773
11353152867364
12140551b40411
13728437bc151
14360c2475581
151ac6d10aa9d
hexe7342b5a4d

993012701773 has 16 divisors (see below), whose sum is σ = 1087089476400. Its totient is φ = 903237682176.

The previous prime is 993012701753. The next prime is 993012701777. The reversal of 993012701773 is 377107210399.

It can be written as a sum of positive squares in 8 ways, for example, as 54755064004 + 938257637769 = 233998^2 + 968637^2 .

It is not a de Polignac number, because 993012701773 - 25 = 993012701741 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993012701777) 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, 5203986 + ... + 5391427.

It is an arithmetic number, because the mean of its divisors is an integer number (67943092275).

Almost surely, 2993012701773 is an apocalyptic number.

It is an amenable number.

993012701773 is a deficient number, since it is larger than the sum of its proper divisors (94076774627).

993012701773 is a wasteful number, since it uses less digits than its factorization.

993012701773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10595616.

The product of its (nonzero) digits is 500094, while the sum is 49.

The spelling of 993012701773 in words is "nine hundred ninety-three billion, twelve million, seven hundred one thousand, seven hundred seventy-three".

Divisors: 1 17 37 149 629 2533 5513 93721 10595413 180122021 392030281 1578716537 6664514777 26838181129 58412511869 993012701773