Search a number
-
+
38729489656 = 231113311796101
BaseRepresentation
bin100100000100011101…
…010001110011111000
310200222010100220221211
4210010131101303320
51113304222132111
625443031212504
72540516142004
oct440435216370
9120863326854
1038729489656
11154748728a0
12760a517134
133862aa11b0
141c35965704
15101a1be521
hex904751cf8

38729489656 has 128 divisors (see below), whose sum is σ = 88571750400. Its totient is φ = 15635520000.

The previous prime is 38729489639. The next prime is 38729489657. The reversal of 38729489656 is 65698492783.

It is a junction number, because it is equal to n+sod(n) for n = 38729489591 and 38729489600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38729489657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6345006 + ... + 6351106.

It is an arithmetic number, because the mean of its divisors is an integer number (691966800).

Almost surely, 238729489656 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 38729489656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44285875200).

38729489656 is an abundant number, since it is smaller than the sum of its proper divisors (49842260744).

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

38729489656 is a wasteful number, since it uses less digits than its factorization.

38729489656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6341 (or 6337 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 67.

The spelling of 38729489656 in words is "thirty-eight billion, seven hundred twenty-nine million, four hundred eighty-nine thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 13 22 26 31 44 52 62 88 104 124 143 179 248 286 341 358 403 572 682 716 806 1144 1364 1432 1612 1969 2327 2728 3224 3938 4433 4654 5549 6101 7876 8866 9308 11098 12202 15752 17732 18616 22196 24404 25597 35464 44392 48808 51194 61039 67111 72137 79313 102388 122078 134222 144274 158626 189131 204776 244156 268444 288548 317252 378262 488312 536888 577096 634504 756524 793507 872443 1092079 1513048 1587014 1744886 2080441 2184158 2458703 3174028 3489772 4160882 4368316 4917406 6348056 6979544 8321764 8736632 9834812 12012869 14197027 16643528 19669624 24025738 27045733 28394054 33854449 48051476 54091466 56788108 67708898 96102952 108182932 113576216 135417796 156167297 216365864 270835592 312334594 372398939 440107837 624669188 744797878 880215674 1249338376 1489595756 1760431348 2979191512 3520862696 4841186207 9682372414 19364744828 38729489656