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4351045920 = 2535133183271
BaseRepresentation
bin1000000110101011…
…11011000100100000
3102020020021000220220
410003111323010200
532402331432140
61555430003040
7212552165034
oct40325730440
912206230826
104351045920
111933063221
12a151a6480
135445829b0
142d3c141c4
151a6eb8bd0
hex10357b120

4351045920 has 384 divisors, whose sum is σ = 15476686848. Its totient is φ = 1020211200.

The previous prime is 4351045913. The next prime is 4351045931. The reversal of 4351045920 is 295401534.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16055385 + ... + 16055655.

It is an arithmetic number, because the mean of its divisors is an integer number (40303872).

Almost surely, 24351045920 is an apocalyptic number.

4351045920 is a gapful number since it is divisible by the number (40) 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 4351045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7738343424).

4351045920 is an abundant number, since it is smaller than the sum of its proper divisors (11125640928).

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

4351045920 is a wasteful number, since it uses less digits than its factorization.

4351045920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 4351045920 is about 65962.4584138584. The cubic root of 4351045920 is about 1632.5427236680.

The spelling of 4351045920 in words is "four billion, three hundred fifty-one million, forty-five thousand, nine hundred twenty".