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39794130064 = 24132333724683
BaseRepresentation
bin100101000011111010…
…100011110010010000
310210201022200021001001
4211003322203302100
51122444244130224
630140422151344
72606064344623
oct450372436220
9123638607031
1039794130064
11159708269a7
127866b82554
1339a2521530
141cd70dbdba
15107d8bd544
hex943ea3c90

39794130064 has 80 divisors (see below), whose sum is σ = 86902687872. Its totient is φ = 17515137024.

The previous prime is 39794130053. The next prime is 39794130067. The reversal of 39794130064 is 46003149793.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 39794129996 and 39794130023.

It is not an unprimeable number, because it can be changed into a prime (39794130067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1599867 + ... + 1624549.

Almost surely, 239794130064 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 39794130064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43451343936).

39794130064 is an abundant number, since it is smaller than the sum of its proper divisors (47108557808).

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

39794130064 is a wasteful number, since it uses less digits than its factorization.

39794130064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25064 (or 25058 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 46.

The spelling of 39794130064 in words is "thirty-nine billion, seven hundred ninety-four million, one hundred thirty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 337 368 598 674 1196 1348 2392 2696 4381 4784 5392 7751 8762 15502 17524 24683 31004 35048 49366 62008 70096 98732 100763 124016 197464 201526 320879 394928 403052 567709 641758 806104 1135418 1283516 1612208 2270836 2567032 4541672 5134064 7380217 8318171 9083344 14760434 16636342 29520868 33272684 59041736 66545368 108136223 118083472 133090736 191317933 216272446 382635866 432544892 765271732 865089784 1530543464 1730179568 2487133129 3061086928 4974266258 9948532516 19897065032 39794130064