Search a number
-
+
38688429696 = 273719773061
BaseRepresentation
bin100100000010000000…
…101001011010000000
310200212021002212021120
4210002000221122000
51113213214222241
625435003152240
72536510140450
oct440200513200
9120767085246
1038688429696
1115453678944
1275b8815680
133857426067
141c30317d60
1510167ad666
hex902029680

38688429696 has 128 divisors (see below), whose sum is σ = 118044812160. Its totient is φ = 10997575680.

The previous prime is 38688429667. The next prime is 38688429739. The reversal of 38688429696 is 69692488683.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38688429696.

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, 493006 + ... + 566066.

It is an arithmetic number, because the mean of its divisors is an integer number (922225095).

Almost surely, 238688429696 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 38688429696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59022406080).

38688429696 is an abundant number, since it is smaller than the sum of its proper divisors (79356382464).

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

38688429696 is a wasteful number, since it uses less digits than its factorization.

38688429696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73282 (or 73270 counting only the distinct ones).

The product of its digits is 214990848, while the sum is 69.

The spelling of 38688429696 in words is "thirty-eight billion, six hundred eighty-eight million, four hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 197 224 336 384 394 448 591 672 788 896 1182 1344 1379 1576 2364 2688 2758 3152 4137 4728 5516 6304 8274 9456 11032 12608 16548 18912 22064 25216 33096 37824 44128 66192 73061 75648 88256 132384 146122 176512 219183 264768 292244 438366 511427 529536 584488 876732 1022854 1168976 1534281 1753464 2045708 2337952 3068562 3506928 4091416 4675904 6137124 7013856 8182832 9351808 12274248 14027712 14393017 16365664 24548496 28055424 28786034 32731328 43179051 49096992 57572068 65462656 86358102 98193984 100751119 115144136 172716204 196387968 201502238 230288272 302253357 345432408 403004476 460576544 604506714 690864816 806008952 921153088 1209013428 1381729632 1612017904 1842306176 2418026856 2763459264 3224035808 4836053712 5526918528 6448071616 9672107424 12896143232 19344214848 38688429696