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2105858748 = 2237172397661
BaseRepresentation
bin111110110000100…
…1101101010111100
312102202112201010110
41331201031222330
513303044434443
6544543510020
7103120334610
oct17541155274
95382481113
102105858748
1199077a934
124a92b8310
1327738c786
1415d973340
15c4d23233
hex7d84dabc

2105858748 has 192 divisors, whose sum is σ = 6277920768. Its totient is φ = 535265280.

The previous prime is 2105858747. The next prime is 2105858759. The reversal of 2105858748 is 8478585012.

It is a junction number, because it is equal to n+sod(n) for n = 2105858697 and 2105858706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105858747) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3185538 + ... + 3186198.

It is an arithmetic number, because the mean of its divisors is an integer number (32697504).

Almost surely, 22105858748 is an apocalyptic number.

2105858748 is a gapful number since it is divisible by the number (28) 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 2105858748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138960384).

2105858748 is an abundant number, since it is smaller than the sum of its proper divisors (4172062020).

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

2105858748 is a wasteful number, since it uses less digits than its factorization.

2105858748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 48.

The square root of 2105858748 is about 45889.6366078443. The cubic root of 2105858748 is about 1281.7689466234.

The spelling of 2105858748 in words is "two billion, one hundred five million, eight hundred fifty-eight thousand, seven hundred forty-eight".