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5326267644 = 2233192672039
BaseRepresentation
bin1001111010111100…
…00110010011111100
3111202012022102122000
410331132012103330
541402011031034
62240304222300
7245663346045
oct47536062374
914665272560
105326267644
1122935a2795
12104790a990
1366b625879
143875518cc
15212903599
hex13d7864fc

5326267644 has 144 divisors (see below), whose sum is σ = 14798649600. Its totient is φ = 1656062496.

The previous prime is 5326267613. The next prime is 5326267651. The reversal of 5326267644 is 4467626235.

5326267644 is a `hidden beast` number, since 5 + 326 + 267 + 64 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5326267644.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2611177 + ... + 2613215.

It is an arithmetic number, because the mean of its divisors is an integer number (102768400).

Almost surely, 25326267644 is an apocalyptic number.

5326267644 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 5326267644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399324800).

5326267644 is an abundant number, since it is smaller than the sum of its proper divisors (9472381956).

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

5326267644 is a wasteful number, since it uses less digits than its factorization.

5326267644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2130 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 5326267644 is about 72981.2828333402. The cubic root of 5326267644 is about 1746.3890324767.

The spelling of 5326267644 in words is "five billion, three hundred twenty-six million, two hundred sixty-seven thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 67 76 108 114 134 171 201 228 268 342 361 402 513 603 684 722 804 1026 1083 1206 1273 1444 1809 2039 2052 2166 2412 2546 3249 3618 3819 4078 4332 5092 6117 6498 7236 7638 8156 9747 11457 12234 12996 15276 18351 19494 22914 24187 24468 34371 36702 38741 38988 45828 48374 55053 68742 72561 73404 77482 96748 110106 116223 136613 137484 145122 154964 217683 220212 232446 273226 290244 348669 409839 435366 464892 546452 653049 697338 736079 819678 870732 1046007 1229517 1306098 1394676 1472158 1639356 2092014 2208237 2459034 2595647 2612196 2944316 3688551 4184028 4416474 4918068 5191294 6624711 7377102 7786941 8832948 10382588 13249422 14754204 15573882 19874133 23360823 26498844 31147764 39748266 46721646 49317293 70082469 79496532 93443292 98634586 140164938 147951879 197269172 280329876 295903758 443855637 591807516 887711274 1331566911 1775422548 2663133822 5326267644