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306396628992 = 2113419412371
BaseRepresentation
bin1000111010101101010…
…10011000100000000000
31002021212022022110010000
410131112222120200000
520010000014111432
6352431235040000
731064536242426
oct4352652304000
91067768273100
10306396628992
11108a3aa00343
124b46b740000
1322b7c12878c
1410b888b9116
157e8404157c
hex4756a98800

306396628992 has 480 divisors, whose sum is σ = 987263877600. Its totient is φ = 94357094400.

The previous prime is 306396628943. The next prime is 306396628997. The reversal of 306396628992 is 299826693603.

It is a super-2 number, since 2×3063966289922 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (306396628997) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 129225567 + ... + 129227937.

It is an arithmetic number, because the mean of its divisors is an integer number (2056799745).

Almost surely, 2306396628992 is an apocalyptic number.

306396628992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306396628992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493631938800).

306396628992 is an abundant number, since it is smaller than the sum of its proper divisors (680867248608).

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

306396628992 is a wasteful number, since it uses less digits than its factorization.

306396628992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 306396628992 in words is "three hundred six billion, three hundred ninety-six million, six hundred twenty-eight thousand, nine hundred ninety-two".