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38589768460 = 225172322721739
BaseRepresentation
bin100011111100001000…
…010010001100001100
310200121101110100111201
4203330020102030030
51113012440042320
625421120355244
72534201422405
oct437410221414
9120541410451
1038589768460
1115402a11231
12758b775b24
13383cb60a29
141c211949ac
15100ccc070a
hex8fc21230c

38589768460 has 96 divisors (see below), whose sum is σ = 89934727680. Its totient is φ = 13834411008.

The previous prime is 38589768433. The next prime is 38589768559. The reversal of 38589768460 is 6486798583.

It is a junction number, because it is equal to n+sod(n) for n = 38589768392 and 38589768401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1764271 + ... + 1786009.

It is an arithmetic number, because the mean of its divisors is an integer number (936820080).

Almost surely, 238589768460 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 38589768460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44967363840).

38589768460 is an abundant number, since it is smaller than the sum of its proper divisors (51344959220).

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

38589768460 is a wasteful number, since it uses less digits than its factorization.

38589768460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22015 (or 22013 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 64.

The spelling of 38589768460 in words is "thirty-eight billion, five hundred eighty-nine million, seven hundred sixty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 227 230 340 391 454 460 782 908 1135 1564 1955 2270 3859 3910 4540 5221 7718 7820 10442 15436 19295 20884 21739 26105 38590 43478 52210 77180 86956 88757 104420 108695 177514 217390 355028 369563 434780 443785 499997 739126 887570 999994 1478252 1775140 1847815 1999988 2499985 3695630 4934753 4999970 7391260 8499949 9869506 9999940 16999898 19739012 24673765 33999796 42499745 49347530 83890801 84999490 98695060 113499319 167781602 169998980 226998638 335563204 419454005 453997276 567496595 838908010 1134993190 1677816020 1929488423 2269986380 3858976846 7717953692 9647442115 19294884230 38589768460