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5344398675 = 32527112511229
BaseRepresentation
bin1001111101000110…
…10000110101010011
3111210110102120201200
410332203100311103
541421131224200
62242153002243
7246303432150
oct47643206523
914713376650
105344398675
1122a2856910
1210519b3383
136723033a5
14389b11227
152142d5800
hex13e8d0d53

5344398675 has 144 divisors (see below), whose sum is σ = 11991732480. Its totient is φ = 2210400000.

The previous prime is 5344398671. The next prime is 5344398677. The reversal of 5344398675 is 5768934435.

5344398675 is a `hidden beast` number, since 53 + 443 + 9 + 86 + 75 = 666.

It is not a de Polignac number, because 5344398675 - 22 = 5344398671 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5344398671) 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 143 ways as a sum of consecutive naturals, for example, 4347961 + ... + 4349189.

It is an arithmetic number, because the mean of its divisors is an integer number (83275920).

Almost surely, 25344398675 is an apocalyptic number.

5344398675 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5344398675 is an abundant number, since it is smaller than the sum of its proper divisors (6647333805).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5344398675 is a wasteful number, since it uses less digits than its factorization.

5344398675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1506 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The square root of 5344398675 is about 73105.3942948125. The cubic root of 5344398675 is about 1748.3684030774.

The spelling of 5344398675 in words is "five billion, three hundred forty-four million, three hundred ninety-eight thousand, six hundred seventy-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 165 175 225 231 251 275 315 385 495 525 693 753 825 1155 1229 1255 1575 1757 1925 2259 2475 2761 3465 3687 3765 5271 5775 6145 6275 8283 8603 8785 11061 11295 13519 13805 15813 17325 18435 18825 19327 24849 25809 26355 30725 40557 41415 43015 43925 55305 56475 57981 67595 69025 77427 79065 92175 94633 96635 121671 124245 129045 131775 173943 202785 207075 215075 276525 283899 289905 308479 337975 387135 395325 473165 483175 608355 621225 645225 851697 869715 925437 1013925 1419495 1449525 1542395 1935675 2159353 2365825 2776311 3041775 3393269 4258485 4348575 4627185 6478059 7097475 7711975 10179807 10796765 13881555 16966345 19434177 21292425 23135925 23752883 30539421 32390295 50899035 53983825 69407775 71258649 84831725 97170885 118764415 152697105 161951475 213775947 254495175 356293245 485854425 593822075 763485525 1068879735 1781466225 5344398675