Search a number
-
+
136171088872 = 23713236073989
BaseRepresentation
bin111111011010001101…
…1011110101111101000
3111000110222221001002221
41332310123132233220
54212334244320442
6142320043003424
712560306105050
oct1766433365750
9430428831087
10136171088872
1152828036585
1222483509574
13cac1544400
14683acd2560
15381e9e4467
hex1fb46debe8

136171088872 has 96 divisors (see below), whose sum is σ = 316134403200. Its totient is φ = 53841445632.

The previous prime is 136171088869. The next prime is 136171088873. The reversal of 136171088872 is 278880171631.

136171088872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1361710888722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (136171088873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34134654 + ... + 34138642.

It is an arithmetic number, because the mean of its divisors is an integer number (3293066700).

Almost surely, 2136171088872 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 136171088872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158067201600).

136171088872 is an abundant number, since it is smaller than the sum of its proper divisors (179963314328).

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

136171088872 is a wasteful number, since it uses less digits than its factorization.

136171088872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7635 (or 7618 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 52.

The spelling of 136171088872 in words is "one hundred thirty-six billion, one hundred seventy-one million, eighty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1183 1352 2366 3607 3989 4732 7214 7978 9464 14428 15956 25249 27923 28856 31912 46891 50498 51857 55846 93782 100996 103714 111692 187564 201992 207428 223384 328237 362999 375128 414856 609583 656474 674141 725998 1219166 1312948 1348282 1451996 2438332 2625896 2696564 2903992 4267081 4718987 4876664 5393128 8534162 9437974 14388323 17068324 18875948 28776646 34136648 37751896 57553292 100718261 115106584 187048199 201436522 374096398 402873044 748192796 805746088 1309337393 1496385592 2431626587 2618674786 4863253174 5237349572 9726506348 10474699144 17021386109 19453012696 34042772218 68085544436 136171088872