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136122356628 = 223313711517993
BaseRepresentation
bin111111011000110000…
…1100101001110010100
3111000100121020012001000
41332301201211032110
54212234310403003
6142311142303300
712556144640406
oct1766141451624
9430317205030
10136122356628
11528025812a5
122246b127b30
13cab441106b
146834648b76
15381a5ba1a3
hex1fb1865394

136122356628 has 96 divisors (see below), whose sum is σ = 355839160320. Its totient is φ = 44998156800.

The previous prime is 136122356627. The next prime is 136122356663. The reversal of 136122356628 is 826653221631.

136122356628 is a `hidden beast` number, since 1 + 3 + 6 + 12 + 2 + 3 + 5 + 6 + 628 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136122356627) 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, 17026200 + ... + 17034192.

It is an arithmetic number, because the mean of its divisors is an integer number (3706657920).

Almost surely, 2136122356628 is an apocalyptic number.

136122356628 is a gapful number since it is divisible by the number (18) 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 136122356628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177919580160).

136122356628 is an abundant number, since it is smaller than the sum of its proper divisors (219716803692).

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

136122356628 is a wasteful number, since it uses less digits than its factorization.

136122356628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9294 (or 9286 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 136122356628 in words is "one hundred thirty-six billion, one hundred twenty-two million, three hundred fifty-six thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 137 274 411 548 822 1151 1233 1644 2302 2466 3453 3699 4604 4932 6906 7398 7993 10359 13812 14796 15986 20718 23979 31077 31972 41436 47958 62154 71937 95916 124308 143874 157687 215811 287748 315374 431622 473061 630748 863244 946122 1095041 1419183 1892244 2190082 2838366 3285123 4257549 4380164 5676732 6570246 8515098 9199943 9855369 13140492 17030196 18399886 19710738 27599829 29566107 36799772 39421476 55199658 59132214 82799487 110399316 118264428 165598974 248398461 331197948 496796922 993593844 1260392191 2520784382 3781176573 5041568764 7562353146 11343529719 15124706292 22687059438 34030589157 45374118876 68061178314 136122356628