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2958086292012 = 2234312711086763
BaseRepresentation
bin101011000010111011101…
…011101100001000101100
3101110210100010020022010000
4223002323223230020230
5341431130042321022
610142532011144300
7423500064421515
oct53027353541054
911423303208100
102958086292012
11a4057665a595
123b9369145090
13185c3c157567
14a325a4d3a0c
1551e2ec426ac
hex2b0bbaec22c

2958086292012 has 120 divisors (see below), whose sum is σ = 8011937196032. Its totient is φ = 950699397600.

The previous prime is 2958086291987. The next prime is 2958086292013. The reversal of 2958086292012 is 2102926808592.

It is a happy number.

2958086292012 is a `hidden beast` number, since 2 + 9 + 5 + 8 + 0 + 8 + 629 + 2 + 0 + 1 + 2 = 666.

2958086292012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2958086292012.

It is not an unprimeable number, because it can be changed into a prime (2958086292013) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2178543 + ... + 3265305.

Almost surely, 22958086292012 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 2958086292012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005968598016).

2958086292012 is an abundant number, since it is smaller than the sum of its proper divisors (5053850904020).

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

2958086292012 is a wasteful number, since it uses less digits than its factorization.

2958086292012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087081 (or 1087070 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 2958086292012 in words is "two trillion, nine hundred fifty-eight billion, eighty-six million, two hundred ninety-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 271 279 324 372 542 558 813 837 1084 1116 1626 1674 2439 2511 3252 3348 4878 5022 7317 8401 9756 10044 14634 16802 21951 25203 29268 33604 43902 50406 75609 87804 100812 151218 226827 302436 453654 680481 907308 1086763 1360962 2173526 2721924 3260289 4347052 6520578 9780867 13041156 19561734 29342601 33689653 39123468 58685202 67379306 88027803 101068959 117370404 134758612 176055606 202137918 294512773 303206877 352111212 404275836 589025546 606413754 883538319 909620631 1178051092 1212827508 1767076638 1819241262 2650614957 2728861893 3534153276 3638482524 5301229914 5457723786 7951844871 9129895963 10602459828 10915447572 15903689742 18259791926 23855534613 27389687889 31807379484 36519583852 47711069226 54779375778 82169063667 95422138452 109558751556 164338127334 246507191001 328676254668 493014382002 739521573003 986028764004 1479043146006 2958086292012