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135992652224 = 26111324161657
BaseRepresentation
bin111111010100111001…
…0110011000111000000
3111000000120011112001012
41332221302303013000
54212003104332344
6142250230300052
712553011320432
oct1765162630700
9430016145035
10135992652224
1152746341480
12224337b7628
13ca93599cb0
146821324652
15380dee929e
hex1fa9cb31c0

135992652224 has 112 divisors (see below), whose sum is σ = 318359491296. Its totient is φ = 56822169600.

The previous prime is 135992652197. The next prime is 135992652227. The reversal of 135992652224 is 422256299531.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135992652227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2174804 + ... + 2236460.

It is an arithmetic number, because the mean of its divisors is an integer number (2842495458).

Almost surely, 2135992652224 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 135992652224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159179745648).

135992652224 is an abundant number, since it is smaller than the sum of its proper divisors (182366839072).

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

135992652224 is a wasteful number, since it uses less digits than its factorization.

135992652224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61934 (or 61924 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 50.

The spelling of 135992652224 in words is "one hundred thirty-five billion, nine hundred ninety-two million, six hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 241 286 352 416 482 572 704 832 964 1144 1928 2288 2651 3133 3856 4576 5302 6266 7712 9152 10604 12532 15424 21208 25064 34463 42416 50128 61657 68926 84832 100256 123314 137852 169664 200512 246628 275704 493256 551408 678227 801541 986512 1102816 1356454 1603082 1973024 2205632 2712908 3206164 3946048 5425816 6412328 8816951 10851632 12824656 14859337 17633902 21703264 25649312 29718674 35267804 43406528 51298624 59437348 70535608 118874696 141071216 163452707 193171381 237749392 282142432 326905414 386342762 475498784 564284864 653810828 772685524 950997568 1307621656 1545371048 2124885191 2615243312 3090742096 4249770382 5230486624 6181484192 8499540764 10460973248 12362968384 16999081528 33998163056 67996326112 135992652224