Search a number
-
+
5326313355 = 355113710771
BaseRepresentation
bin1001111010111100…
…10001011110001011
3111202012101202100000
410331132101132023
541402014011410
62240305214043
7245663626236
oct47536213613
914665352300
105326313355
112293624070
121047931323
1366b64060c
1438756441d
15212911dc0
hex13d79178b

5326313355 has 96 divisors (see below), whose sum is σ = 10727877888. Its totient is φ = 2512425600.

The previous prime is 5326313353. The next prime is 5326313357. The reversal of 5326313355 is 5533136235.

5326313355 is a `hidden beast` number, since 532 + 63 + 13 + 3 + 55 = 666.

It is an interprime number because it is at equal distance from previous prime (5326313353) and next prime (5326313357).

It is not a de Polignac number, because 5326313355 - 21 = 5326313353 is a prime.

It is a super-2 number, since 2×53263133552 = 56739227911302712050, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5326313351) 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 95 ways as a sum of consecutive naturals, for example, 489120 + ... + 499890.

It is an arithmetic number, because the mean of its divisors is an integer number (111748728).

Almost surely, 25326313355 is an apocalyptic number.

5326313355 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5326313355 is an abundant number, since it is smaller than the sum of its proper divisors (5401564533).

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

5326313355 is a wasteful number, since it uses less digits than its factorization.

5326313355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10839 (or 10827 counting only the distinct ones).

The product of its digits is 121500, while the sum is 36.

The square root of 5326313355 is about 72981.5960020059. The cubic root of 5326313355 is about 1746.3940284055.

The spelling of 5326313355 in words is "five billion, three hundred twenty-six million, three hundred thirteen thousand, three hundred fifty-five".

Divisors: 1 3 5 9 11 15 27 33 37 45 55 81 99 111 135 165 185 243 297 333 405 407 495 555 891 999 1215 1221 1485 1665 2035 2673 2997 3663 4455 4995 6105 8991 10771 10989 13365 14985 18315 32313 32967 44955 53855 54945 96939 98901 118481 161565 164835 290817 355443 398527 484695 494505 592405 872451 1066329 1195581 1454085 1777215 1992635 2617353 3198987 3586743 4362255 4383797 5331645 5977905 9596961 10760229 13086765 13151391 15994935 17933715 21918985 28790883 32280687 39454173 47984805 53801145 65756955 96842061 118362519 143954415 161403435 197270865 355087557 484210305 591812595 1065262671 1775437785 5326313355