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4880104320 = 2735713173153
BaseRepresentation
bin1001000101110000…
…00111101110000000
3110121002202222121110
410202320013232000
534443301314240
62124125323320
7231635126250
oct44270075600
913532688543
104880104320
112084767673
12b42406540
135ca0702c0
143441b1960
151d8671c80
hex122e07b80

4880104320 has 1024 divisors, whose sum is σ = 21319925760. Its totient is φ = 920125440.

The previous prime is 4880104309. The next prime is 4880104321. The reversal of 4880104320 is 234010884.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4880104321) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 92077414 + ... + 92077466.

It is an arithmetic number, because the mean of its divisors is an integer number (20820240).

Almost surely, 24880104320 is an apocalyptic number.

4880104320 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 4880104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10659962880).

4880104320 is an abundant number, since it is smaller than the sum of its proper divisors (16439821440).

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

4880104320 is a wasteful number, since it uses less digits than its factorization.

4880104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4880104320 is about 69857.7434505295. The cubic root of 4880104320 is about 1696.1973040898.

The spelling of 4880104320 in words is "four billion, eight hundred eighty million, one hundred four thousand, three hundred twenty".