Search a number
-
+
123173864632 = 23713319756267
BaseRepresentation
bin111001010110110111…
…1000000010010111000
3102202221012100122021101
41302231233000102320
54004230002132012
6132330231221144
711620235401030
oct1625557002270
9382835318241
10123173864632
1148268487645
121ba568177b4
13b7cc904c90
145d66a8a8c0
15330d93ed57
hex1cadbc04b8

123173864632 has 128 divisors (see below), whose sum is σ = 296446832640. Its totient is φ = 46669271040.

The previous prime is 123173864587. The next prime is 123173864669. The reversal of 123173864632 is 236468371321.

It is a congruent number.

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, 2160963 + ... + 2217229.

It is an arithmetic number, because the mean of its divisors is an integer number (2315990880).

Almost surely, 2123173864632 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 123173864632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148223416320).

123173864632 is an abundant number, since it is smaller than the sum of its proper divisors (173272968008).

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

123173864632 is a wasteful number, since it uses less digits than its factorization.

123173864632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56421 (or 56417 counting only the distinct ones).

The product of its digits is 870912, while the sum is 46.

The spelling of 123173864632 in words is "one hundred twenty-three billion, one hundred seventy-three million, eight hundred sixty-four thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 97 104 124 182 194 217 248 364 388 403 434 679 728 776 806 868 1261 1358 1612 1736 2522 2716 2821 3007 3224 5044 5432 5642 6014 8827 10088 11284 12028 17654 21049 22568 24056 35308 39091 42098 56267 70616 78182 84196 112534 156364 168392 225068 273637 312728 393869 450136 547274 731471 787738 1094548 1462942 1575476 1744277 2189096 2925884 3150952 3488554 5120297 5457899 5851768 6977108 10240594 10915798 12209939 13954216 20481188 21831596 22675601 24419878 38205293 40962376 43663192 45351202 48839756 70952687 76410586 90702404 97679512 141905374 152821172 158729207 169194869 181404808 283810748 305642344 317458414 338389738 496668809 567621496 634916828 676779476 993337618 1184364083 1269833656 1353558952 1986675236 2199533297 2368728166 3973350472 4399066594 4737456332 8798133188 9474912664 15396733079 17596266376 30793466158 61586932316 123173864632