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2826001746196 = 2218128117777817
BaseRepresentation
bin101001000111111010110…
…101001000100100010100
3101000011101220212011012121
4221013322311020210110
5332300122421334241
610002125225025324
7411112646334226
oct51077265104424
911004356764177
102826001746196
1199a556348322
12397846325244
1317664c446185
149aaca242416
154d79ddbaad1
hex291fad48914

2826001746196 has 48 divisors (see below), whose sum is σ = 4993970344272. Its totient is φ = 1399226572800.

The previous prime is 2826001746193. The next prime is 2826001746221. The reversal of 2826001746196 is 6916471006282.

It can be written as a sum of positive squares in 8 ways, for example, as 942382743696 + 1883619002500 = 970764^2 + 1372450^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2826001746193) 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, 361516080 + ... + 361523896.

It is an arithmetic number, because the mean of its divisors is an integer number (104041048839).

Almost surely, 22826001746196 is an apocalyptic number.

It is an amenable number.

2826001746196 is a deficient number, since it is larger than the sum of its proper divisors (2167968598076).

2826001746196 is a wasteful number, since it uses less digits than its factorization.

2826001746196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10060 (or 10058 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 2826001746196 in words is "two trillion, eight hundred twenty-six billion, one million, seven hundred forty-six thousand, one hundred ninety-six".

Divisors: 1 2 4 181 281 362 562 724 1124 1777 3554 7108 7817 15634 31268 50861 101722 203444 321637 499337 643274 998674 1286548 1414877 1997348 2196577 2829754 4393154 5659508 8786308 13890809 27781618 55563236 90379997 180759994 361519988 397580437 795160874 1590321748 2514236429 3903317329 5028472858 7806634658 10056945716 15613269316 706500436549 1413000873098 2826001746196