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4938984336 = 24311131937871
BaseRepresentation
bin1001001100110001…
…01110101110010000
3110202012120101210210
410212120232232100
540103334444321
62134031324120
7233251450146
oct44630565620
913665511723
104938984336
112104a23040
12b5a080640
13609317550
1434bd3b596
151dd902b76
hex12662eb90

4938984336 has 160 divisors (see below), whose sum is σ = 15778990080. Its totient is φ = 1308787200.

The previous prime is 4938984319. The next prime is 4938984367. The reversal of 4938984336 is 6334898394.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111481 + ... + 149351.

It is an arithmetic number, because the mean of its divisors is an integer number (98618688).

Almost surely, 24938984336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4938984336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7889495040).

4938984336 is an abundant number, since it is smaller than the sum of its proper divisors (10840005744).

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

4938984336 is a wasteful number, since it uses less digits than its factorization.

4938984336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37925 (or 37919 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 57.

The square root of 4938984336 is about 70277.9078800728. The cubic root of 4938984336 is about 1702.9917717027.

The spelling of 4938984336 in words is "four billion, nine hundred thirty-eight million, nine hundred eighty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 19 22 24 26 33 38 39 44 48 52 57 66 76 78 88 104 114 132 143 152 156 176 208 209 228 247 264 286 304 312 418 429 456 494 528 572 624 627 741 836 858 912 988 1144 1254 1482 1672 1716 1976 2288 2508 2717 2964 3344 3432 3952 5016 5434 5928 6864 8151 10032 10868 11856 16302 21736 32604 37871 43472 65208 75742 113613 130416 151484 227226 302968 416581 454452 492323 605936 719549 833162 908904 984646 1249743 1439098 1476969 1666324 1817808 1969292 2158647 2499486 2878196 2953938 3332648 3938584 4317294 4998972 5415553 5756392 5907876 6665296 7877168 7915039 8634588 9354137 9997944 10831106 11512784 11815752 15830078 16246659 17269176 18708274 19995888 21662212 23631504 23745117 28062411 31660156 32493318 34538352 37416548 43324424 47490234 56124822 63320312 64986636 74833096 86648848 94980468 102895507 112249644 126640624 129973272 149666192 189960936 205791014 224499288 259946544 308686521 379921872 411582028 448998576 617373042 823164056 1234746084 1646328112 2469492168 4938984336