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2112206154016 = 257137621711071
BaseRepresentation
bin11110101111001001010…
…011000010100100100000
321110220222021112001201011
4132233021103002210200
5234101244233412031
64254200100150304
7305413303035310
oct36571123024440
97426867461634
102112206154016
11744866344082
122a1439698394
13124245b38a4a
1474334a73440
1539e23b0a6b1
hex1ebc94c2920

2112206154016 has 96 divisors (see below), whose sum is σ = 4788355848192. Its totient is φ = 898397982720.

The previous prime is 2112206153989. The next prime is 2112206154083. The reversal of 2112206154016 is 6104516022112.

It is a happy number.

It is a super-2 number, since 2×21122061540162 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190781761 + ... + 190792831.

It is an arithmetic number, because the mean of its divisors is an integer number (49878706752).

Almost surely, 22112206154016 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 2112206154016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394177924096).

2112206154016 is an abundant number, since it is smaller than the sum of its proper divisors (2676149694176).

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

2112206154016 is a wasteful number, since it uses less digits than its factorization.

2112206154016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17442 (or 17434 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 2112206154016 in words is "two trillion, one hundred twelve billion, two hundred six million, one hundred fifty-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 137 224 274 548 959 1096 1918 2192 3836 4384 6217 7672 11071 12434 15344 22142 24868 30688 43519 44284 49736 77497 87038 88568 99472 154994 174076 177136 198944 309988 348152 354272 619976 696304 851729 1239952 1392608 1516727 1703458 2479904 3033454 3406916 5962103 6066908 6813832 10617089 11924206 12133816 13627664 21234178 23848412 24267632 27255328 42468356 47696824 48535264 68828407 84936712 95393648 137656814 169873424 190787296 275313628 339746848 481798849 550627256 963597698 1101254512 1927195396 2202509024 3854390792 7708781584 9429491759 15417563168 18858983518 37717967036 66006442313 75435934072 132012884626 150871868144 264025769252 301743736288 528051538504 1056103077008 2112206154016