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468330426432 = 263211210365239
BaseRepresentation
bin1101101000010101010…
…10110011000001000000
31122202211202022200111100
412310022222303001000
530133120042121212
6555051550214400
745556443641151
oct6641252630100
91582752280440
10468330426432
11170688353100
1276922ab4400
1335217c0052b
141894b173928
15c2b0665bdc
hex6d0aab3040

468330426432 has 252 divisors, whose sum is σ = 1489861871680. Its totient is φ = 140538309120.

The previous prime is 468330426427. The next prime is 468330426433. The reversal of 468330426432 is 234624033864.

It is a happy number.

468330426432 is a `hidden beast` number, since 4 + 6 + 83 + 304 + 264 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (468330426433) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7146069 + ... + 7211307.

Almost surely, 2468330426432 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 468330426432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744930935840).

468330426432 is an abundant number, since it is smaller than the sum of its proper divisors (1021531445248).

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

468330426432 is a wasteful number, since it uses less digits than its factorization.

468330426432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65382 (or 65358 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 468330426432 in words is "four hundred sixty-eight billion, three hundred thirty million, four hundred twenty-six thousand, four hundred thirty-two".