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993490588636325 = 52134201727658681
BaseRepresentation
bin1110000111100100110000110…
…1100111111001010010100101
311211021122202212022021012211022
43201321030031213321102211
52020204322211142330300
613440551135315020525
7416156216640436613
oct34171141547712245
94737582768235738
10993490588636325
11268613aa104798a
129351516bb9a745
13338479b6b09a80
14137492b59aa6b3
1579cce84398285
hex387930d9f94a5

993490588636325 has 24 divisors (see below), whose sum is σ = 1327007853285576. Its totient is φ = 733479949440000.

The previous prime is 993490588636283. The next prime is 993490588636361. The reversal of 993490588636325 is 523636885094399.

It can be written as a sum of positive squares in 12 ways, for example, as 541441800285604 + 452048788350721 = 23268902^2 + 21261439^2 .

It is not a de Polignac number, because 993490588636325 - 28 = 993490588636069 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 993490588636325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362464016 + ... + 365194665.

It is an arithmetic number, because the mean of its divisors is an integer number (55291993886899).

Almost surely, 2993490588636325 is an apocalyptic number.

It is an amenable number.

993490588636325 is a deficient number, since it is larger than the sum of its proper divisors (333517264649251).

993490588636325 is a wasteful number, since it uses less digits than its factorization.

993490588636325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727662905 (or 727662900 counting only the distinct ones).

The product of its (nonzero) digits is 9069926400, while the sum is 80.

The spelling of 993490588636325 in words is "nine hundred ninety-three trillion, four hundred ninety billion, five hundred eighty-eight million, six hundred thirty-six thousand, three hundred twenty-five".

Divisors: 1 5 13 25 65 325 4201 21005 54613 105025 273065 1365325 727658681 3638293405 9459562853 18191467025 47297814265 236489071325 3056894118881 15284470594405 39739623545453 76422352972025 198698117727265 993490588636325