Search a number
-
+
161060825128 = 237173141133109
BaseRepresentation
bin1001010111111111111…
…0010010100000101000
3120101201121100122111111
42111333332102200220
510114323032401003
6201553524240104
714431144265560
oct2257776224050
9511647318444
10161060825128
116233a700845
122726ab40034
1312259c824b8
147b1c775da0
1542c9b85e6d
hex257ff92828

161060825128 has 128 divisors (see below), whose sum is σ = 386423654400. Its totient is φ = 61336166400.

The previous prime is 161060825119. The next prime is 161060825173. The reversal of 161060825128 is 821528060161.

It is a happy 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, 1143438 + ... + 1276546.

It is an arithmetic number, because the mean of its divisors is an integer number (3018934800).

Almost surely, 2161060825128 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 161060825128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193211827200).

161060825128 is an abundant number, since it is smaller than the sum of its proper divisors (225362829272).

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

161060825128 is a wasteful number, since it uses less digits than its factorization.

161060825128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133211 (or 133207 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

Adding to 161060825128 its reverse (821528060161), we get a palindrome (982588885289).

The spelling of 161060825128 in words is "one hundred sixty-one billion, sixty million, eight hundred twenty-five thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 17 28 31 34 41 56 62 68 82 119 124 136 164 217 238 248 287 328 434 476 527 574 697 868 952 1054 1148 1271 1394 1736 2108 2296 2542 2788 3689 4216 4879 5084 5576 7378 8897 9758 10168 14756 17794 19516 21607 29512 35588 39032 43214 71176 86428 133109 151249 172856 266218 302498 532436 604996 931763 1064872 1209992 1863526 2262853 3727052 4126379 4525706 5457469 7454104 8252758 9051412 10914938 15839971 16505516 18102824 21829876 28884653 31679942 33011032 38202283 43659752 57769306 63359884 70148443 76404566 92776973 115538612 126719768 140296886 152809132 169181539 185553946 231077224 280593772 305618264 338363078 371107892 491039101 561187544 649438811 676726156 742215784 982078202 1184270773 1298877622 1353452312 1964156404 2368541546 2597755244 2876086163 3928312808 4737083092 5195510488 5752172326 9474166184 11504344652 20132603141 23008689304 40265206282 80530412564 161060825128