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468664701008 = 24717393162617
BaseRepresentation
bin1101101000111101001…
…01111101000001010000
31122210201001022121000012
412310132211331001100
530134311130413013
6555145051014052
745600643141460
oct6643645750120
91583631277005
10468664701008
1117083a007589
12769b6a3a328
133526c23bb3a
141897d709ba0
15c2ceb951a8
hex6d1e97d050

468664701008 has 80 divisors (see below), whose sum is σ = 1099099188864. Its totient is φ = 188990115840.

The previous prime is 468664701007. The next prime is 468664701041. The reversal of 468664701008 is 800107466864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468664701007) 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 15 ways as a sum of consecutive naturals, for example, 7453316 + ... + 7515932.

Almost surely, 2468664701008 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 468664701008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549549594432).

468664701008 is an abundant number, since it is smaller than the sum of its proper divisors (630434487856).

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

468664701008 is a wasteful number, since it uses less digits than its factorization.

468664701008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66580 (or 66574 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The spelling of 468664701008 in words is "four hundred sixty-eight billion, six hundred sixty-four million, seven hundred one thousand, eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 3931 7862 15724 27517 31448 55034 62617 62896 66827 110068 125234 133654 220136 250468 267308 438319 440272 467789 500936 534616 876638 935578 1001872 1064489 1069232 1753276 1871156 2128978 3506552 3742312 4257956 7013104 7451423 7484624 8515912 14902846 17031824 29805692 59611384 119222768 246147427 492294854 984589708 1723031989 1969179416 3446063978 3938358832 4184506259 6892127956 8369012518 13784255912 16738025036 27568511824 29291543813 33476050072 58583087626 66952100144 117166175252 234332350504 468664701008