Search a number
-
+
38429356280 = 2357438935863
BaseRepresentation
bin100011110010100100…
…010111000011111000
310200012012121120100212
4203302210113003320
51112200403400110
625353150250252
72530213065410
oct436244270370
9120165546325
1038429356280
1115330408187
127545ab6988
133815857793
141c07b59640
15eedb85e05
hex8f29170f8

38429356280 has 128 divisors (see below), whose sum is σ = 102255436800. Its totient is φ = 12724411392.

The previous prime is 38429356253. The next prime is 38429356297. The reversal of 38429356280 is 8265392483.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1053629 + ... + 1089491.

It is an arithmetic number, because the mean of its divisors is an integer number (798870600).

Almost surely, 238429356280 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 38429356280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51127718400).

38429356280 is an abundant number, since it is smaller than the sum of its proper divisors (63826080520).

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

38429356280 is a wasteful number, since it uses less digits than its factorization.

38429356280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36013 (or 36009 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

The spelling of 38429356280 in words is "thirty-eight billion, four hundred twenty-nine million, three hundred fifty-six thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 89 140 172 178 215 280 301 344 356 430 445 602 623 712 860 890 1204 1246 1505 1720 1780 2408 2492 3010 3115 3560 3827 4984 6020 6230 7654 12040 12460 15308 19135 24920 26789 30616 35863 38270 53578 71726 76540 107156 133945 143452 153080 179315 214312 251041 267890 286904 358630 502082 535780 717260 1004164 1071560 1255205 1434520 1542109 2008328 2510410 3084218 3191807 5020820 6168436 6383614 7710545 10041640 10794763 12336872 12767228 15421090 15959035 21589526 22342649 25534456 30842180 31918070 43179052 44685298 53973815 61684360 63836140 86358104 89370596 107947630 111713245 127672280 137247701 178741192 215895260 223426490 274495402 431790520 446852980 548990804 686238505 893705960 960733907 1097981608 1372477010 1921467814 2744954020 3842935628 4803669535 5489908040 7685871256 9607339070 19214678140 38429356280