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136202340256 = 25171956923159
BaseRepresentation
bin111111011011001001…
…0101100011110100000
3111000120011201202221121
41332312102230132200
54212420244342011
6142323120502024
712561135535003
oct1766622543640
9430504652847
10136202340256
1152843741174
1222491a7a914
13cac7b66b58
14684110953a
153822618e71
hex1fb64ac7a0

136202340256 has 96 divisors (see below), whose sum is σ = 299403216000. Its totient is φ = 60612452352.

The previous prime is 136202340191. The next prime is 136202340271. The reversal of 136202340256 is 652043202631.

It is a super-2 number, since 2×1362023402562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 5869605 + ... + 5892763.

It is an arithmetic number, because the mean of its divisors is an integer number (3118783500).

Almost surely, 2136202340256 is an apocalyptic number.

136202340256 is a gapful number since it is divisible by the number (16) 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 136202340256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149701608000).

136202340256 is an abundant number, since it is smaller than the sum of its proper divisors (163200875744).

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

136202340256 is a wasteful number, since it uses less digits than its factorization.

136202340256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23774 (or 23766 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 136202340256 its reverse (652043202631), we get a palindrome (788245542887).

The spelling of 136202340256 in words is "one hundred thirty-six billion, two hundred two million, three hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 569 608 646 1138 1292 2276 2584 4552 5168 9104 9673 10336 10811 18208 19346 21622 23159 38692 43244 46318 77384 86488 92636 154768 172976 183787 185272 309536 345952 367574 370544 393703 440021 735148 741088 787406 880042 1470296 1574812 1760084 2940592 3149624 3520168 5881184 6299248 7040336 7480357 12598496 13177471 14080672 14960714 26354942 29921428 52709884 59842856 105419768 119685712 210839536 224017007 239371424 250371949 421679072 448034014 500743898 896068028 1001487796 1792136056 2002975592 3584272112 4005951184 4256323133 7168544224 8011902368 8512646266 17025292532 34050585064 68101170128 136202340256