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136438772316 = 223711547269947
BaseRepresentation
bin111111100010001100…
…0100111001001011100
3111001011122121202202120
41333010120213021130
54213411311203231
6142402404222540
712600036300210
oct1770430471134
9431148552676
10136438772316
1152955148070
122253909aa50
13cb34b38992
146864692940
15383826cd96
hex1fc462725c

136438772316 has 96 divisors (see below), whose sum is σ = 397639882752. Its totient is φ = 35373723840.

The previous prime is 136438772311. The next prime is 136438772357. The reversal of 136438772316 is 613277834631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136438772311) 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 31 ways as a sum of consecutive naturals, for example, 370455 + ... + 640401.

It is an arithmetic number, because the mean of its divisors is an integer number (4142082112).

Almost surely, 2136438772316 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 136438772316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198819941376).

136438772316 is an abundant number, since it is smaller than the sum of its proper divisors (261201110436).

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

136438772316 is a wasteful number, since it uses less digits than its factorization.

136438772316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270519 (or 270517 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 51.

The spelling of 136438772316 in words is "one hundred thirty-six billion, four hundred thirty-eight million, seven hundred seventy-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 547 924 1094 1641 2188 3282 3829 6017 6564 7658 11487 12034 15316 18051 22974 24068 36102 42119 45948 72204 84238 126357 168476 252714 269947 505428 539894 809841 1079788 1619682 1889629 2969417 3239364 3779258 5668887 5938834 7558516 8908251 11337774 11877668 17816502 20785919 22675548 35633004 41571838 62357757 83143676 124715514 147661009 249431028 295322018 442983027 590644036 885966054 1033627063 1624271099 1771932108 2067254126 3100881189 3248542198 4134508252 4872813297 6201762378 6497084396 9745626594 11369897693 12403524756 19491253188 22739795386 34109693079 45479590772 68219386158 136438772316