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136436268260 = 22541857194149
BaseRepresentation
bin111111100010000111…
…1000011110011100100
3111001011110220112211202
41333010033003303210
54213410141041020
6142402234422032
712600006100565
oct1770417036344
9431143815752
10136436268260
11529537977a6
1222538291918
13cb3446cca6
14686420016c
153837e25e75
hex1fc43c3ce4

136436268260 has 48 divisors (see below), whose sum is σ = 293848354800. Its totient is φ = 53181020160.

The previous prime is 136436268217. The next prime is 136436268337. The reversal of 136436268260 is 62862634631.

It can be written as a sum of positive squares in 8 ways, for example, as 27895012324 + 108541255936 = 167018^2 + 329456^2 .

It is a super-2 number, since 2×1364362682602 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605666 + ... + 799814.

It is an arithmetic number, because the mean of its divisors is an integer number (6121840725).

Almost surely, 2136436268260 is an apocalyptic number.

136436268260 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 136436268260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146924177400).

136436268260 is an abundant number, since it is smaller than the sum of its proper divisors (157412086540).

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

136436268260 is a wasteful number, since it uses less digits than its factorization.

136436268260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195056 (or 195054 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 47.

The spelling of 136436268260 in words is "one hundred thirty-six billion, four hundred thirty-six million, two hundred sixty-eight thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 857 1714 3428 4285 8570 17140 35137 70274 140548 175685 194149 351370 388298 702740 776596 970745 1941490 3882980 7960109 15920218 31840436 39800545 79601090 159202180 166385693 332771386 665542772 831928465 1663856930 3327713860 6821813413 13643626826 27287253652 34109067065 68218134130 136436268260