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2103450370560 = 293357112193161
BaseRepresentation
bin11110100110111111011…
…010011000001000000000
321110002101001222011211000
4132212333122120020000
5233430331243324220
64250151201252000
7304653314100660
oct36467732301000
97402331864730
102103450370560
11741082996400
1229b7b5334000
1312347bb548a6
1473b43c701a0
1539ab00be390
hex1e9bf698200

2103450370560 has 3840 divisors, whose sum is σ = 10365736550400. Its totient is φ = 394149888000.

The previous prime is 2103450370559. The next prime is 2103450370601. The reversal of 2103450370560 is 650730543012.

2103450370560 is a `hidden beast` number, since 2 + 1 + 0 + 34 + 503 + 70 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×21034503705602 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 383 ways as a sum of consecutive naturals, for example, 34482792930 + ... + 34482792990.

It is an arithmetic number, because the mean of its divisors is an integer number (2699410560).

Almost surely, 22103450370560 is an apocalyptic number.

2103450370560 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 2103450370560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5182868275200).

2103450370560 is an abundant number, since it is smaller than the sum of its proper divisors (8262286179840).

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

2103450370560 is a wasteful number, since it uses less digits than its factorization.

2103450370560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 2103450370560 in words is "two trillion, one hundred three billion, four hundred fifty million, three hundred seventy thousand, five hundred sixty".