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2103478359840 = 25345111319314147
BaseRepresentation
bin11110100111000001000…
…101001001011100100000
321110002110000122011220000
4132213001011021130200
5233430410430003330
64250154041220000
7304654104023244
oct36470105113440
97402400564800
102103478359840
11741097773140
1229b802791600
131234848a45b0
1473b47878424
1539ab279c560
hex1e9c1149720

2103478359840 has 3840 divisors, whose sum is σ = 9914183516160. Its totient is φ = 412065792000.

The previous prime is 2103478359811. The next prime is 2103478359841. The reversal of 2103478359840 is 489538743012.

It is a happy number.

2103478359840 is a `hidden beast` number, since 2 + 1 + 0 + 3 + 4 + 7 + 8 + 3 + 598 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2103478359841) 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 639 ways as a sum of consecutive naturals, for example, 44754858697 + ... + 44754858743.

It is an arithmetic number, because the mean of its divisors is an integer number (2581818624).

Almost surely, 22103478359840 is an apocalyptic number.

2103478359840 is a gapful number since it is divisible by the number (20) 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 2103478359840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4957091758080).

2103478359840 is an abundant number, since it is smaller than the sum of its proper divisors (7810705156320).

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

2103478359840 is a wasteful number, since it uses less digits than its factorization.

2103478359840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2103478359840 in words is "two trillion, one hundred three billion, four hundred seventy-eight million, three hundred fifty-nine thousand, eight hundred forty".