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5330229624 = 2334127239271
BaseRepresentation
bin1001111011011010…
…01101100101111000
3111202110202201110000
410331231031211320
541404014321444
62240525153000
7246042130026
oct47555154570
914673681400
105330229624
112295859455
1210490bb760
1366c3b2035
14387ca3716
15212e37469
hex13db4d978

5330229624 has 160 divisors (see below), whose sum is σ = 15165849600. Its totient is φ = 1748900160.

The previous prime is 5330229577. The next prime is 5330229629. The reversal of 5330229624 is 4269220335.

It is a happy number.

5330229624 is a `hidden beast` number, since 5 + 3 + 3 + 0 + 2 + 29 + 624 = 666.

It is a super-2 number, since 2×53302296242 = 56822695689134362752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5330229629) 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 39 ways as a sum of consecutive naturals, for example, 19668609 + ... + 19668879.

It is an arithmetic number, because the mean of its divisors is an integer number (94786560).

Almost surely, 25330229624 is an apocalyptic number.

5330229624 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5330229624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7582924800).

5330229624 is an abundant number, since it is smaller than the sum of its proper divisors (9835619976).

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

5330229624 is a wasteful number, since it uses less digits than its factorization.

5330229624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 5330229624 is about 73008.4215964158. The cubic root of 5330229624 is about 1746.8219462273.

Adding to 5330229624 its reverse (4269220335), we get a palindrome (9599449959).

The spelling of 5330229624 in words is "five billion, three hundred thirty million, two hundred twenty-nine thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 127 162 216 239 254 271 324 381 478 508 542 648 717 762 813 956 1016 1084 1143 1434 1524 1626 1912 2151 2168 2286 2439 2868 3048 3252 3429 4302 4572 4878 5736 6453 6504 6858 7317 8604 9144 9756 10287 12906 13716 14634 17208 19359 19512 20574 21951 25812 27432 29268 30353 34417 38718 41148 43902 51624 58536 60706 64769 68834 77436 82296 87804 91059 103251 121412 129538 137668 154872 175608 182118 194307 206502 242824 259076 273177 275336 309753 364236 388614 413004 518152 546354 582921 619506 728472 777228 819531 826008 929259 1092708 1165842 1239012 1554456 1639062 1748763 1858518 2185416 2331684 2458593 2478024 2787777 3278124 3497526 3717036 4663368 4917186 5246289 5575554 6556248 6995052 7434072 8225663 9834372 10492578 11151108 13990104 16451326 19668744 20985156 22302216 24676989 32902652 41970312 49353978 65805304 74030967 98707956 148061934 197415912 222092901 296123868 444185802 592247736 666278703 888371604 1332557406 1776743208 2665114812 5330229624