Search a number
-
+
125486617344 = 2831129512207
BaseRepresentation
bin111010011011110010…
…1011101001100000000
3102222220101012122120020
41310313211131030000
54023444033223334
6133351525413440
712031450435224
oct1646745351400
9388811178506
10125486617344
1149244a18a20
12203a126a280
13baaaac38ca
146105cb8784
1533e69cee49
hex1d3795d300

125486617344 has 144 divisors (see below), whose sum is σ = 376903134720. Its totient is φ = 36714926080.

The previous prime is 125486617343. The next prime is 125486617349. The reversal of 125486617344 is 443716684521.

It is a super-2 number, since 2×1254866173442 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125486617343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11112 + ... + 501095.

It is an arithmetic number, because the mean of its divisors is an integer number (2617382880).

Almost surely, 2125486617344 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 125486617344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188451567360).

125486617344 is an abundant number, since it is smaller than the sum of its proper divisors (251416517376).

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

125486617344 is a wasteful number, since it uses less digits than its factorization.

125486617344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512266 (or 512252 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The spelling of 125486617344 in words is "one hundred twenty-five billion, four hundred eighty-six million, six hundred seventeen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 128 132 174 176 192 232 256 264 319 348 352 384 464 528 638 696 704 768 928 957 1056 1276 1392 1408 1856 1914 2112 2552 2784 2816 3712 3828 4224 5104 5568 7424 7656 8448 10208 11136 15312 20416 22272 30624 40832 61248 81664 122496 244992 512207 1024414 1536621 2048828 3073242 4097656 5634277 6146484 8195312 11268554 12292968 14854003 16390624 16902831 22537108 24585936 29708006 32781248 33805662 44562009 45074216 49171872 59416012 65562496 67611324 89124018 90148432 98343744 118832024 131124992 135222648 163394033 178248036 180296864 196687488 237664048 270445296 326788066 356496072 360593728 393374976 475328096 490182099 540890592 653576132 712992144 721187456 950656192 980364198 1081781184 1307152264 1425984288 1442374912 1901312384 1960728396 2163562368 2614304528 2851968576 3802624768 3921456792 4327124736 5228609056 5703937152 7842913584 10457218112 11407874304 15685827168 20914436224 31371654336 41828872448 62743308672 125486617344