Search a number
-
+
23817020136 = 23371335330893
BaseRepresentation
bin10110001011100110…
…101110001011101000
32021110211220222111220
4112023212232023220
5342234124121021
614535201222040
71502131221330
oct261346561350
967424828456
1023817020136
11a1120a5818
124748331920
132327421030
14121d2080c0
15945de9cc6
hex58b9ae2e8

23817020136 has 128 divisors (see below), whose sum is σ = 73493118720. Its totient is φ = 6263414784.

The previous prime is 23817020119. The next prime is 23817020147. The reversal of 23817020136 is 63102071832.

It is a junction number, because it is equal to n+sod(n) for n = 23817020097 and 23817020106.

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, 755506 + ... + 786398.

It is an arithmetic number, because the mean of its divisors is an integer number (574164990).

Almost surely, 223817020136 is an apocalyptic number.

23817020136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23817020136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36746559360).

23817020136 is an abundant number, since it is smaller than the sum of its proper divisors (49676098584).

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

23817020136 is a wasteful number, since it uses less digits than its factorization.

23817020136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31275 (or 31271 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

Adding to 23817020136 its reverse (63102071832), we get a palindrome (86919091968).

The spelling of 23817020136 in words is "twenty-three billion, eight hundred seventeen million, twenty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 353 364 546 706 728 1059 1092 1412 2118 2184 2471 2824 4236 4589 4942 7413 8472 9178 9884 13767 14826 18356 19768 27534 29652 30893 32123 36712 55068 59304 61786 64246 92679 96369 110136 123572 128492 185358 192738 216251 247144 256984 370716 385476 401609 432502 648753 741432 770952 803218 865004 1204827 1297506 1606436 1730008 2409654 2595012 2811263 3212872 4819308 5190024 5622526 8433789 9638616 10905229 11245052 16867578 21810458 22490104 32715687 33735156 43620916 65431374 67470312 76336603 87241832 130862748 141767977 152673206 229009809 261725496 283535954 305346412 425303931 458019618 567071908 610692824 850607862 916039236 992375839 1134143816 1701215724 1832078472 1984751678 2977127517 3402431448 3969503356 5954255034 7939006712 11908510068 23817020136