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2104879536 = 2432128311393
BaseRepresentation
bin111110101110101…
…1110100110110000
312102200200221220100
41331131132212300
513302322121121
6544510512400
7103106116014
oct17535364660
95380627810
102104879536
11990171171
124a8b05700
13277108b66
1415d79a544
15c4bcd026
hex7d75e9b0

2104879536 has 60 divisors (see below), whose sum is σ = 5895848088. Its totient is φ = 701018112.

The previous prime is 2104879529. The next prime is 2104879559. The reversal of 2104879536 is 6359784012.

2104879536 is a `hidden beast` number, since 2 + 1 + 0 + 48 + 79 + 536 = 666.

2104879536 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21048795362 = 8861035722143150592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

2104879536 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2104879491 and 2104879500.

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 11 ways as a sum of consecutive naturals, for example, 179056 + ... + 190448.

It is a 1-persistent number, because it is pandigital, but 2⋅2104879536 = 4209759072 is not.

Almost surely, 22104879536 is an apocalyptic number.

It is an amenable number.

2104879536 is an abundant number, since it is smaller than the sum of its proper divisors (3790968552).

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

2104879536 is a wasteful number, since it uses less digits than its factorization.

2104879536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12690 (or 12681 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2104879536 is about 45878.9661609762. The cubic root of 2104879536 is about 1281.5702441342.

The spelling of 2104879536 in words is "two billion, one hundred four million, eight hundred seventy-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1283 2566 3849 5132 7698 10264 11393 11547 15396 20528 22786 23094 30792 34179 45572 46188 61584 68358 91144 92376 102537 136716 182288 184752 205074 273432 410148 546864 820296 1640592 14617219 29234438 43851657 58468876 87703314 116937752 131554971 175406628 233875504 263109942 350813256 526219884 701626512 1052439768 2104879536