Search a number
-
+
2007225041976 = 2332711362053579
BaseRepresentation
bin11101001101010111111…
…011111000010000111000
321002212222222001000022100
4131031113323320100320
5230341244102320401
64134034554423400
7265005623230260
oct35152773702070
97085888030270
102007225041976
11704294231860
1228501b731b60
1311738538193b
146d21626a7a0
153732c44ab86
hex1d357ef8438

2007225041976 has 96 divisors (see below), whose sum is σ = 6777643017600. Its totient is φ = 521357152320.

The previous prime is 2007225041963. The next prime is 2007225041999. The reversal of 2007225041976 is 6791405227002.

2007225041976 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 225 + 0 + 419 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181021246 + ... + 181032333.

It is an arithmetic number, because the mean of its divisors is an integer number (70600448100).

Almost surely, 22007225041976 is an apocalyptic number.

It is an amenable number.

2007225041976 is an abundant number, since it is smaller than the sum of its proper divisors (4770417975624).

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

2007225041976 is a wasteful number, since it uses less digits than its factorization.

2007225041976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362053609 (or 362053602 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 2007225041976 in words is "two trillion, seven billion, two hundred twenty-five million, forty-one thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 362053579 724107158 1086160737 1448214316 2172321474 2534375053 2896428632 3258482211 3982589369 4344642948 5068750106 6516964422 7603125159 7965178738 8689285896 10137500212 11947768107 13033928844 15206250318 15930357476 20275000424 22809375477 23895536214 26067857688 27878125583 30412500636 31860714952 35843304321 45618750954 47791072428 55756251166 60825001272 71686608642 83634376749 91237501908 95582144856 111512502332 143373217284 167268753498 182475003816 223025004664 250903130247 286746434568 334537506996 501806260494 669075013992 1003612520988 2007225041976