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489116601600 = 283521117235923
BaseRepresentation
bin1110001111000011001…
…11110000110100000000
31201202111101011210022220
413013201213300310000
531003202322222400
61012410322131040
750223523342014
oct7074147606400
91652441153286
10489116601600
11179484630170
127a9641b0a80
133717b42a573
141995da26544
15caca4277a0
hex71e19f0d00

489116601600 has 864 divisors, whose sum is σ = 1945909453824. Its totient is φ = 106728652800.

The previous prime is 489116601581. The next prime is 489116601601. The reversal of 489116601600 is 6106611984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (489116601601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82576239 + ... + 82582161.

It is an arithmetic number, because the mean of its divisors is an integer number (2252210016).

Almost surely, 2489116601600 is an apocalyptic number.

489116601600 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 489116601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972954726912).

489116601600 is an abundant number, since it is smaller than the sum of its proper divisors (1456792852224).

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

489116601600 is a wasteful number, since it uses less digits than its factorization.

489116601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6003 (or 5984 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 489116601600 in words is "four hundred eighty-nine billion, one hundred sixteen million, six hundred one thousand, six hundred".