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2993743431 = 327467310169
BaseRepresentation
bin1011001001110000…
…1110011001000111
321201122020220221100
42302130032121013
522112344242211
61213022151143
7134121253650
oct26234163107
97648226840
102993743431
1112a6987828
126b67224b3
13389303823
14205858527
15127c5a156
hexb270e647

2993743431 has 24 divisors (see below), whose sum is σ = 4943596320. Its totient is φ = 1710176256.

The previous prime is 2993743429. The next prime is 2993743433. The reversal of 2993743431 is 1343473992.

2993743431 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2993743429) and next prime (2993743433).

It is not a de Polignac number, because 2993743431 - 21 = 2993743429 is a prime.

It is a super-2 number, since 2×29937434312 = 17924999461311303522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2993743433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289315 + ... + 299483.

It is an arithmetic number, because the mean of its divisors is an integer number (205983180).

Almost surely, 22993743431 is an apocalyptic number.

2993743431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2993743431 is a deficient number, since it is larger than the sum of its proper divisors (1949852889).

2993743431 is a wasteful number, since it uses less digits than its factorization.

2993743431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14855 (or 14852 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 2993743431 is about 54715.1115415111. Note that the first 3 decimals coincide. The cubic root of 2993743431 is about 1441.2462576231.

The spelling of 2993743431 in words is "two billion, nine hundred ninety-three million, seven hundred forty-three thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 63 4673 10169 14019 30507 32711 42057 71183 91521 98133 213549 294399 640647 47519737 142559211 332638159 427677633 997914477 2993743431