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168234029952 = 2733114132563
BaseRepresentation
bin1001110010101110000…
…1111001001110000000
3121002020112000012122020
42130223201321032000
510224020402424302
6205141411041440
715103665442302
oct2345341711600
9532215005566
10168234029952
11653907a679a
12287312a0280
1312b311203b1
1481dd2db972
1545997b4ebc
hex272b879380

168234029952 has 64 divisors (see below), whose sum is σ = 461286888960. Its totient is φ = 54269038080.

The previous prime is 168234029947. The next prime is 168234029959. The reversal of 168234029952 is 259920432861.

168234029952 is digitally balanced in base 7, 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 (64).

It is a junction number, because it is equal to n+sod(n) for n = 168234029895 and 168234029904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168234029959) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7054378 + ... + 7078185.

It is an arithmetic number, because the mean of its divisors is an integer number (7207607640).

Almost surely, 2168234029952 is an apocalyptic number.

168234029952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

168234029952 is an abundant number, since it is smaller than the sum of its proper divisors (293052859008).

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

168234029952 is a wasteful number, since it uses less digits than its factorization.

168234029952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14132611 (or 14132599 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 168234029952 in words is "one hundred sixty-eight billion, two hundred thirty-four million, twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 14132563 28265126 42397689 56530252 84795378 113060504 169590756 226121008 339181512 438109453 452242016 678363024 876218906 904484032 1314328359 1356726048 1752437812 1808968064 2628656718 2713452096 3504875624 5257313436 5426904192 7009751248 10514626872 14019502496 21029253744 28039004992 42058507488 56078009984 84117014976 168234029952