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2106523056 = 2431123916693
BaseRepresentation
bin111110110001110…
…1111110110110000
312102210210110101110
41331203233312300
513303232214211
6545010033320
7103126102431
oct17543576660
95383713343
102106523056
11991093a50
124a9578840
13277562c61
1415daa7488
15c4e04ea6
hex7d8efdb0

2106523056 has 80 divisors (see below), whose sum is σ = 5961761280. Its totient is φ = 635631360.

The previous prime is 2106523049. The next prime is 2106523093. The reversal of 2106523056 is 6503256012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117846 + ... + 134538.

It is an arithmetic number, because the mean of its divisors is an integer number (74522016).

Almost surely, 22106523056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106523056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980880640).

2106523056 is an abundant number, since it is smaller than the sum of its proper divisors (3855238224).

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

2106523056 is a wasteful number, since it uses less digits than its factorization.

2106523056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16954 (or 16948 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 2106523056 is about 45896.8741419282. The cubic root of 2106523056 is about 1281.9037134726.

Adding to 2106523056 its reverse (6503256012), we get a palindrome (8609779068).

The spelling of 2106523056 in words is "two billion, one hundred six million, five hundred twenty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 239 264 478 528 717 956 1434 1912 2629 2868 3824 5258 5736 7887 10516 11472 15774 16693 21032 31548 33386 42064 50079 63096 66772 100158 126192 133544 183623 200316 267088 367246 400632 550869 734492 801264 1101738 1468984 2203476 2937968 3989627 4406952 7979254 8813904 11968881 15958508 23937762 31917016 43885897 47875524 63834032 87771794 95751048 131657691 175543588 191502096 263315382 351087176 526630764 702174352 1053261528 2106523056