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5349406965 = 3571931671291
BaseRepresentation
bin1001111101101100…
…10111100011110101
3111210210212000210220
410332312113203311
541423422010330
62242452204553
7246364131450
oct47666274365
914723760726
105349406965
1122a56676a1
121053609759
13673367b86
1438a656497
15214974710
hex13ed978f5

5349406965 has 128 divisors (see below), whose sum is σ = 10795745280. Its totient is φ = 2206828800.

The previous prime is 5349406963. The next prime is 5349406973. The reversal of 5349406965 is 5696049435.

5349406965 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5349406965 - 21 = 5349406963 is a prime.

It is a super-2 number, since 2×53494069652 = 57232309754381022450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5349406963) 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, 4142970 + ... + 4144260.

It is an arithmetic number, because the mean of its divisors is an integer number (84341760).

Almost surely, 25349406965 is an apocalyptic number.

It is an amenable number.

5349406965 is an abundant number, since it is smaller than the sum of its proper divisors (5446338315).

5349406965 is a wasteful number, since it uses less digits than its factorization.

5349406965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423.

The product of its (nonzero) digits is 3499200, while the sum is 51.

The square root of 5349406965 is about 73139.6401754890. The cubic root of 5349406965 is about 1748.9143704679.

The spelling of 5349406965 in words is "five billion, three hundred forty-nine million, four hundred six thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 15 19 21 31 35 57 67 93 95 105 133 155 201 217 285 335 399 465 469 589 651 665 1005 1085 1273 1291 1407 1767 1995 2077 2345 2945 3255 3819 3873 4123 6231 6365 6455 7035 8835 8911 9037 10385 12369 14539 19095 19365 20615 24529 26733 27111 31155 39463 40021 43617 44555 45185 61845 72695 73587 86497 118389 120063 122645 133665 135555 171703 197315 200105 218085 259491 276241 280147 367935 432485 515109 591945 600315 605479 760399 828723 840441 858515 1297455 1381205 1400735 1643443 1816437 2281197 2575545 2681407 3027395 3801995 4143615 4202205 4930329 5322793 8044221 8217215 9082185 11405985 11504101 13407035 15968379 18769849 24651645 26613965 34512303 40221105 50946733 56309547 57520505 79841895 93849245 152840199 172561515 254733665 281547735 356627131 764200995 1069881393 1783135655 5349406965