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468328123004 = 227221130736887
BaseRepresentation
bin1101101000010101000…
…10000000101001111100
31122202211120222122210012
412310022202000221330
530133113444414004
6555051425002352
745556415235500
oct6641242005174
91582746878705
10468328123004
1117068701a545
12769221833b8
13352175a4c61
141894ab34300
15c2b035d46e
hex6d0a880a7c

468328123004 has 72 divisors (see below), whose sum is σ = 961046900352. Its totient is φ = 199104726240.

The previous prime is 468328122973. The next prime is 468328123051. The reversal of 468328123004 is 400321823864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12677849 + ... + 12714735.

It is an arithmetic number, because the mean of its divisors is an integer number (13347873616).

Almost surely, 2468328123004 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 468328123004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480523450176).

468328123004 is an abundant number, since it is smaller than the sum of its proper divisors (492718777348).

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

468328123004 is a wasteful number, since it uses less digits than its factorization.

468328123004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37423 (or 37414 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

Adding to 468328123004 its reverse (400321823864), we get a palindrome (868649946868).

The spelling of 468328123004 in words is "four hundred sixty-eight billion, three hundred twenty-eight million, one hundred twenty-three thousand, four".

Divisors: 1 2 4 7 14 28 49 98 196 211 307 422 614 844 1228 1477 2149 2954 4298 5908 8596 10339 15043 20678 30086 36887 41356 60172 64777 73774 129554 147548 258209 259108 453439 516418 906878 1032836 1807463 1813756 3174073 3614926 6348146 7229852 7783157 11324309 12696292 15566314 22648618 31132628 45297236 54482099 79270163 108964198 158540326 217928396 317080652 381374693 554891141 762749386 1109782282 1525498772 2219564564 2389429199 4778858398 9557716796 16726004393 33452008786 66904017572 117082030751 234164061502 468328123004