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126132518260 = 225737179136033
BaseRepresentation
bin111010101111000010…
…1010111110101110100
3110001120101120211001101
41311132011113311310
54031304411041020
6133540001335444
712053452500250
oct1653605276564
9401511524041
10126132518260
1149546577931
1220541637584
13bb81870bb8
1461679ad260
15343356800a
hex1d5e157d74

126132518260 has 96 divisors (see below), whose sum is σ = 312638780160. Its totient is φ = 41841266688.

The previous prime is 126132518251. The next prime is 126132518263. The reversal of 126132518260 is 62815231621.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126132518263) 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, 859204 + ... + 995236.

It is an arithmetic number, because the mean of its divisors is an integer number (3256653960).

Almost surely, 2126132518260 is an apocalyptic number.

126132518260 is a gapful number since it is divisible by the number (10) 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 126132518260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156319390080).

126132518260 is an abundant number, since it is smaller than the sum of its proper divisors (186506261900).

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

126132518260 is a wasteful number, since it uses less digits than its factorization.

126132518260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136265 (or 136263 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

Adding to 126132518260 its reverse (62815231621), we get a palindrome (188947749881).

The spelling of 126132518260 in words is "one hundred twenty-six billion, one hundred thirty-two million, five hundred eighteen thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 179 185 259 358 370 518 716 740 895 1036 1253 1295 1790 2506 2590 3580 5012 5180 6265 6623 12530 13246 25060 26492 33115 46361 66230 92722 132460 136033 185444 231805 272066 463610 544132 680165 927220 952231 1360330 1904462 2720660 3808924 4761155 5033221 9522310 10066442 19044620 20132884 24349907 25166105 35232547 48699814 50332210 70465094 97399628 100664420 121749535 140930188 170449349 176162735 243499070 340898698 352325470 486998140 681797396 704650940 852246745 900946559 1704493490 1801893118 3408986980 3603786236 4504732795 6306625913 9009465590 12613251826 18018931180 25226503652 31533129565 63066259130 126132518260