Search a number
-
+
38676130781728 = 2511612114385193
BaseRepresentation
bin10001100101100111111010…
…00010010101101000100000
312001221101212001102122012011
420302303331002111220200
520032132203440003403
6214131322540242304
711101154401256356
oct1062637502255040
9161841761378164
1038676130781728
11113615005a5a10
124407839b40394
1318771b330453b
14979d12c197d6
154710c553aa6d
hex232cfd095a20

38676130781728 has 96 divisors (see below), whose sum is σ = 84432499224192. Its totient is φ = 17290840934400.

The previous prime is 38676130781713. The next prime is 38676130781731. The reversal of 38676130781728 is 82718703167683.

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, 453939900 + ... + 454025092.

It is an arithmetic number, because the mean of its divisors is an integer number (879505200252).

Almost surely, 238676130781728 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 38676130781728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42216249612096).

38676130781728 is an abundant number, since it is smaller than the sum of its proper divisors (45756368442464).

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

38676130781728 is a wasteful number, since it uses less digits than its factorization.

38676130781728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106418 (or 106410 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 67.

The spelling of 38676130781728 in words is "thirty-eight trillion, six hundred seventy-six billion, one hundred thirty million, seven hundred eighty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 61 88 122 176 244 352 488 671 976 1342 1952 2684 5368 10736 21143 21472 42286 84572 85193 169144 170386 232573 338288 340772 465146 676576 681544 930292 937123 1289723 1363088 1860584 1874246 2579446 2726176 3721168 3748492 5158892 5196773 7442336 7496984 10317784 10393546 14186953 14993968 20635568 20787092 28373906 29987936 41271136 41574184 56747812 57164503 83148368 113495624 114329006 166296736 226991248 228658012 453982496 457316024 914632048 1801235599 1829264096 3602471198 7204942396 14409884792 19813591589 28819769584 39627183178 57639539168 79254366356 109875371539 158508732712 219750743078 317017465424 439501486156 634034930848 879002972312 1208629086929 1758005944624 2417258173858 3516011889248 4834516347716 9669032695432 19338065390864 38676130781728