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3993116377239 = 331149429272003
BaseRepresentation
bin111010000110111000010…
…010001000000010010111
3112010201221010221102201000
4322012320102020002113
51010410400243032424
612254225022034343
7561331101116103
oct72067022100227
915121833842630
103993116377239
1112aa520104a40
12545a867189b3
1322c71a94b782
14db3a7038903
156dd0b9cd3c9
hex3a1b8488097

3993116377239 has 32 divisors (see below), whose sum is σ = 6453675705600. Its totient is φ = 2420012674080.

The previous prime is 3993116377231. The next prime is 3993116377273. The reversal of 3993116377239 is 9327736113993.

3993116377239 is a `hidden beast` number, since 39 + 93 + 116 + 377 + 2 + 39 = 666.

It is not a de Polignac number, because 3993116377239 - 23 = 3993116377231 is a prime.

It is a super-3 number, since 3×39931163772393 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3993116377231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14544412 + ... + 14816414.

It is an arithmetic number, because the mean of its divisors is an integer number (201677365800).

Almost surely, 23993116377239 is an apocalyptic number.

3993116377239 is a deficient number, since it is larger than the sum of its proper divisors (2460559328361).

3993116377239 is a wasteful number, since it uses less digits than its factorization.

3993116377239 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321452 (or 321446 counting only the distinct ones).

The product of its digits is 34720812, while the sum is 63.

The spelling of 3993116377239 in words is "three trillion, nine hundred ninety-three billion, one hundred sixteen million, three hundred seventy-seven thousand, two hundred thirty-nine".

Divisors: 1 3 9 11 27 33 99 297 49429 148287 272003 444861 543719 816009 1334583 1631157 2448027 2992033 4893471 7344081 8976099 14680413 26928297 80784891 13444836287 40334508861 121003526583 147893199157 363010579749 443679597471 1331038792413 3993116377239