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5346636345 = 325372591471
BaseRepresentation
bin1001111101010111…
…10011001000111001
3111210121122021020100
410332223303020321
541422214330340
62242312550013
7246331442031
oct47653631071
914717567210
105346636345
1122a4045026
1210526b2309
13672907a5b
1438a1348c1
152145c8830
hex13eaf3239

5346636345 has 72 divisors (see below), whose sum is σ = 9692766720. Its totient is φ = 2725591680.

The previous prime is 5346636341. The next prime is 5346636349. The reversal of 5346636345 is 5436366435.

5346636345 is a `hidden beast` number, since 5 + 3 + 4 + 6 + 6 + 3 + 634 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (5346636341) and next prime (5346636349).

It is not a de Polignac number, because 5346636345 - 22 = 5346636341 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 5346636345.

It is not an unprimeable number, because it can be changed into a prime (5346636341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3633960 + ... + 3635430.

It is an arithmetic number, because the mean of its divisors is an integer number (134621760).

Almost surely, 25346636345 is an apocalyptic number.

It is an amenable number.

5346636345 is a deficient number, since it is larger than the sum of its proper divisors (4346130375).

5346636345 is a wasteful number, since it uses less digits than its factorization.

5346636345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1575 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 45.

The square root of 5346636345 is about 73120.6971041715. The cubic root of 5346636345 is about 1748.6123797387.

The spelling of 5346636345 in words is "five billion, three hundred forty-six million, six hundred thirty-six thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 37 45 59 111 177 185 295 333 531 555 885 1369 1471 1665 2183 2655 4107 4413 6549 6845 7355 10915 12321 13239 19647 20535 22065 32745 54427 61605 66195 80771 86789 98235 163281 242313 260367 272135 403855 433945 489843 726939 781101 816405 1211565 1301835 2013799 2449215 3211193 3634695 3905505 6041397 9633579 10068995 16055965 18124191 28900737 30206985 48167895 90620955 118814141 144503685 356442423 594070705 1069327269 1782212115 5346636345