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4880490148800 = 26355276192897
BaseRepresentation
bin100011100000101001111…
…1000011011001111000000
3122021120101202020122200000
41013001103320123033000
51114430220434230200
614214022145400000
71012414044534030
oct107012370331700
918246352218600
104880490148800
1116118935004a2
12669a56339000
132952c75c3096
1412c30758d8c0
1586e457da300
hex47053e1b3c0

4880490148800 has 1008 divisors, whose sum is σ = 20599034077440. Its totient is φ = 1113353994240.

The previous prime is 4880490148789. The next prime is 4880490148861. The reversal of 4880490148800 is 88410940884.

It is a happy number.

4880490148800 is a `hidden beast` number, since 4 + 8 + 8 + 0 + 490 + 148 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×48804901488002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1684668952 + ... + 1684671848.

It is an arithmetic number, because the mean of its divisors is an integer number (20435549680).

Almost surely, 24880490148800 is an apocalyptic number.

4880490148800 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 4880490148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10299517038720).

4880490148800 is an abundant number, since it is smaller than the sum of its proper divisors (15718543928640).

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

4880490148800 is a wasteful number, since it uses less digits than its factorization.

4880490148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 4880490148800 in words is "four trillion, eight hundred eighty billion, four hundred ninety million, one hundred forty-eight thousand, eight hundred".