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2129645896 = 237173117193
BaseRepresentation
bin111111011101111…
…1101000101001000
312111102022012221221
41332323331011020
513330142132041
6551153411424
7103526456110
oct17673750510
95442265857
102129645896
119a3147534
124b5269b74
1327c29a901
14162ba6040
15c6e712d1
hex7eefd148

2129645896 has 64 divisors (see below), whose sum is σ = 4848180480. Its totient is φ = 856135680.

The previous prime is 2129645893. The next prime is 2129645927. The reversal of 2129645896 is 6985469212.

It is not an unprimeable number, because it can be changed into a prime (2129645893) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 292476 + ... + 299668.

It is an arithmetic number, because the mean of its divisors is an integer number (75752820).

Almost surely, 22129645896 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 2129645896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424090240).

2129645896 is an abundant number, since it is smaller than the sum of its proper divisors (2718534584).

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

2129645896 is a wasteful number, since it uses less digits than its factorization.

2129645896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7534 (or 7530 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 52.

The square root of 2129645896 is about 46148.0865908870. The cubic root of 2129645896 is about 1286.5770472210.

It can be divided in two parts, 2129 and 645896, that added together give a square (648025 = 8052).

The spelling of 2129645896 in words is "two billion, one hundred twenty-nine million, six hundred forty-five thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 311 476 622 952 1244 2177 2488 4354 5287 7193 8708 10574 14386 17416 21148 28772 37009 42296 50351 57544 74018 100702 122281 148036 201404 244562 296072 402808 489124 855967 978248 1711934 2237023 3423868 4474046 6847736 8948092 15659161 17896184 31318322 38029391 62636644 76058782 125273288 152117564 266205737 304235128 532411474 1064822948 2129645896