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5433993345 = 3511377389137
BaseRepresentation
bin1010000111110010…
…00010100010000001
3112000201000110111210
411003321002202001
542112100241340
62255113200333
7251442116124
oct50371024201
915021013453
105433993345
1123393906a0
121077a000a9
13687a429a1
143979943bb
1521c0d2180
hex143e42881

5433993345 has 128 divisors (see below), whose sum is σ = 10058411520. Its totient is φ = 2481684480.

The previous prime is 5433993329. The next prime is 5433993347.

It is a happy number.

5433993345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5433993345 - 24 = 5433993329 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5433993294 and 5433993303.

It is not an unprimeable number, because it can be changed into a prime (5433993347) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39664117 + ... + 39664253.

It is an arithmetic number, because the mean of its divisors is an integer number (78581340).

Almost surely, 25433993345 is an apocalyptic number.

5433993345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5433993345 is a deficient number, since it is larger than the sum of its proper divisors (4624418175).

5433993345 is a wasteful number, since it uses less digits than its factorization.

5433993345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355.

The product of its digits is 2624400, while the sum is 48.

The square root of 5433993345 is about 73715.6248362584. The cubic root of 5433993345 is about 1758.0843206937.

The spelling of 5433993345 in words is "five billion, four hundred thirty-three million, nine hundred ninety-three thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 33 37 55 73 89 111 137 165 185 219 267 365 407 411 445 555 685 803 979 1095 1221 1335 1507 2035 2055 2409 2701 2937 3293 4015 4521 4895 5069 6105 6497 7535 8103 9879 10001 12045 12193 13505 14685 15207 16465 19491 22605 25345 29711 30003 32485 36223 36579 40515 49395 50005 55759 60965 71467 76035 89133 97455 108669 110011 134123 148555 150015 167277 181115 182895 214401 240389 278795 330033 357335 370037 402369 445665 451141 543345 550055 670615 721167 836385 890089 1072005 1110111 1201945 1353423 1650165 1850185 2011845 2255705 2644279 2670267 3605835 4070407 4450445 4962551 5550555 6767115 7932837 9790979 12211221 13221395 13351335 14887653 20352035 24812755 29372937 32933293 39664185 48954895 61056105 74438265 98799879 146864685 164666465 362266223 493999395 1086798669 1811331115 5433993345