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136067828352 = 273354343303
BaseRepresentation
bin111111010111001000…
…1100100101010000000
3111000012210121212022020
41332232101210222000
54212131331001402
6142301513441440
712554613313011
oct1765621445200
9430183555266
10136067828352
1152784818405
1222454a10280
13caa602b801
14682b2d3008
1538158e88bc
hex1fae464a80

136067828352 has 32 divisors (see below), whose sum is σ = 361430170080. Its totient is φ = 45355942656.

The previous prime is 136067828341. The next prime is 136067828381. The reversal of 136067828352 is 253828760631.

It is a happy number.

136067828352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 136067828295 and 136067828304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 177171268 + ... + 177172035.

It is an arithmetic number, because the mean of its divisors is an integer number (11294692815).

Almost surely, 2136067828352 is an apocalyptic number.

136067828352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136067828352 is an abundant number, since it is smaller than the sum of its proper divisors (225362341728).

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

136067828352 is an equidigital number, since it uses as much as digits as its factorization.

136067828352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354343320 (or 354343308 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 136067828352 in words is "one hundred thirty-six billion, sixty-seven million, eight hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 354343303 708686606 1063029909 1417373212 2126059818 2834746424 4252119636 5669492848 8504239272 11338985696 17008478544 22677971392 34016957088 45355942784 68033914176 136067828352