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136469488108032 = 293231955347559
BaseRepresentation
bin11111000001111001000111…
…010111001000001000000000
3122220012100121021020211202200
4133001321013113020020000
5120341404002423424112
61202125114540313200
740513411064250132
oct3701710727101000
9586170537224680
10136469488108032
113a535426315032
121338084b542800
135b1c02c610ab1
14259b230b97052
1510b9d40623cdc
hex7c1e475c8200

136469488108032 has 120 divisors (see below), whose sum is σ = 406565350414080. Its totient is φ = 44022415472640.

The previous prime is 136469488108013. The next prime is 136469488108033. The reversal of 136469488108032 is 230801884964631.

136469488108032 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 69 + 488 + 10 + 80 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (136469488108033) 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 11 ways as a sum of consecutive naturals, for example, 477530932 + ... + 477816627.

It is an arithmetic number, because the mean of its divisors is an integer number (3388044586784).

Almost surely, 2136469488108032 is an apocalyptic number.

136469488108032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136469488108032 is an abundant number, since it is smaller than the sum of its proper divisors (270095862306048).

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

136469488108032 is an equidigital number, since it uses as much as digits as its factorization.

136469488108032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955347614 (or 955347595 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 136469488108032 in words is "one hundred thirty-six trillion, four hundred sixty-nine billion, four hundred eighty-eight million, one hundred eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1116 1152 1488 1536 1984 2232 2304 2976 3968 4464 4608 5952 7936 8928 11904 15872 17856 23808 35712 47616 71424 142848 955347559 1910695118 2866042677 3821390236 5732085354 7642780472 8598128031 11464170708 15285560944 17196256062 22928341416 29615774329 30571121888 34392512124 45856682832 59231548658 61142243776 68785024248 88847322987 91713365664 118463097316 122284487552 137570048496 177694645974 183426731328 236926194632 244568975104 266541968961 275140096992 355389291948 366853462656 473852389264 489137950208 533083937922 550280193984 710778583896 733706925312 947704778528 1066167875844 1100560387968 1421557167792 1467413850624 1895409557056 2132335751688 2201120775936 2843114335584 3790819114112 4264671503376 4402241551872 5686228671168 7581638228224 8529343006752 11372457342336 15163276456448 17058686013504 22744914684672 34117372027008 45489829369344 68234744054016 136469488108032