Search a number
-
+
39801317248 = 2771110139983
BaseRepresentation
bin100101000100010101…
…111110011110000000
310210201211012102000001
4211010111332132000
51123003114122443
630141240205344
72606212420540
oct450425763600
9123654172001
1039801317248
1115974895820
127869469854
1339a3b699c4
141cd804d320
15107e33cd4d
hex94457e780

39801317248 has 128 divisors (see below), whose sum is σ = 99838448640. Its totient is φ = 15353088000.

The previous prime is 39801317221. The next prime is 39801317267. The reversal of 39801317248 is 84271310893.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 39801317198 and 39801317207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 975465 + ... + 1015447.

It is an arithmetic number, because the mean of its divisors is an integer number (779987880).

Almost surely, 239801317248 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 39801317248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49919224320).

39801317248 is an abundant number, since it is smaller than the sum of its proper divisors (60037131392).

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

39801317248 is a wasteful number, since it uses less digits than its factorization.

39801317248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40116 (or 40104 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 39801317248 in words is "thirty-nine billion, eight hundred one million, three hundred seventeen thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 101 112 128 154 176 202 224 308 352 404 448 616 704 707 808 896 1111 1232 1408 1414 1616 2222 2464 2828 3232 4444 4928 5656 6464 7777 8888 9856 11312 12928 15554 17776 22624 31108 35552 39983 45248 62216 71104 79966 90496 124432 142208 159932 248864 279881 319864 439813 497728 559762 639728 879626 995456 1119524 1279456 1759252 2239048 2558912 3078691 3518504 4038283 4478096 5117824 6157382 7037008 8076566 8956192 12314764 14074016 16153132 17912384 24629528 28148032 28267981 32306264 35824768 44421113 49259056 56296064 56535962 64612528 88842226 98518112 113071924 129225056 177684452 197036224 226143848 258450112 310947791 355368904 394072448 452287696 516900224 621895582 710737808 904575392 1243791164 1421475616 1809150784 2487582328 2842951232 3618301568 4975164656 5685902464 9950329312 19900658624 39801317248