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39503683472 = 24116722914629
BaseRepresentation
bin100100110010100110…
…100101111110010000
310202222002011001012212
4210302212211332100
51121400420332342
630051525011252
72565636524561
oct446246457620
9122862131185
1039503683472
11158318880a0
1277a5853b28
1339572b9c46
141caa6d4168
15106314a182
hex9329a5f90

39503683472 has 80 divisors (see below), whose sum is σ = 85118510400. Its totient is φ = 17609771520.

The previous prime is 39503683469. The next prime is 39503683481. The reversal of 39503683472 is 27438630593.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 39503683472.

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 15 ways as a sum of consecutive naturals, for example, 2693054 + ... + 2707682.

It is an arithmetic number, because the mean of its divisors is an integer number (1063981380).

Almost surely, 239503683472 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 39503683472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42559255200).

39503683472 is an abundant number, since it is smaller than the sum of its proper divisors (45614826928).

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

39503683472 is a wasteful number, since it uses less digits than its factorization.

39503683472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14944 (or 14938 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 50.

The spelling of 39503683472 in words is "thirty-nine billion, five hundred three million, six hundred eighty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 67 88 134 176 229 268 458 536 737 916 1072 1474 1832 2519 2948 3664 5038 5896 10076 11792 14629 15343 20152 29258 30686 40304 58516 61372 117032 122744 160919 168773 234064 245488 321838 337546 643676 675092 980143 1287352 1350184 1960286 2574704 2700368 3350041 3920572 6700082 7841144 10781573 13400164 15682288 21563146 26800328 36850451 43126292 53600656 73700902 86252584 147401804 172505168 224452747 294803608 448905494 589607216 897810988 1795621976 2468980217 3591243952 4937960434 9875920868 19751841736 39503683472