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5303324664 = 2334115711303
BaseRepresentation
bin1001111000001101…
…00100111111111000
3111200121010210210000
410330012210333320
541330122342124
62234124353000
7245264341641
oct47406447770
914617123700
105303324664
112281652350
1210400a5760
13666951a41
1438449c6c8
152108c06c9
hex13c1a4ff8

5303324664 has 160 divisors (see below), whose sum is σ = 16245440640. Its totient is φ = 1603022400.

The previous prime is 5303324657. The next prime is 5303324671. The reversal of 5303324664 is 4664233035.

It is an interprime number because it is at equal distance from previous prime (5303324657) and next prime (5303324671).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4069437 + ... + 4070739.

It is an arithmetic number, because the mean of its divisors is an integer number (101534004).

Almost surely, 25303324664 is an apocalyptic number.

5303324664 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 5303324664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8122720320).

5303324664 is an abundant number, since it is smaller than the sum of its proper divisors (10942115976).

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

5303324664 is a wasteful number, since it uses less digits than its factorization.

5303324664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The square root of 5303324664 is about 72823.9291991307. The cubic root of 5303324664 is about 1743.8778908627.

Adding to 5303324664 its reverse (4664233035), we get a palindrome (9967557699).

The spelling of 5303324664 in words is "five billion, three hundred three million, three hundred twenty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 571 594 648 792 891 1142 1188 1303 1713 1782 2284 2376 2606 3426 3564 3909 4568 5139 5212 6281 6852 7128 7818 10278 10424 11727 12562 13704 14333 15417 15636 18843 20556 23454 25124 28666 30834 31272 35181 37686 41112 42999 46251 46908 50248 56529 57332 61668 70362 75372 85998 92502 93816 105543 113058 114664 123336 128997 140724 150744 169587 171996 185004 211086 226116 257994 281448 339174 343992 370008 386991 422172 452232 508761 515988 678348 744013 773982 844344 1017522 1031976 1160973 1356696 1488026 1547964 2035044 2232039 2321946 2976052 3095928 4070088 4464078 4643892 5952104 6696117 8184143 8928156 9287784 13392234 16368286 17856312 20088351 24552429 26784468 32736572 40176702 49104858 53568936 60265053 65473144 73657287 80353404 98209716 120530106 147314574 160706808 196419432 220971861 241060212 294629148 441943722 482120424 589258296 662915583 883887444 1325831166 1767774888 2651662332 5303324664