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2166706650992 = 2413293715976079
BaseRepresentation
bin11111100001111001110…
…001111011111101110000
321200010122111211011120012
4133201321301323331300
5240444403400312432
64335212111034052
7312353003441432
oct37417161737560
97603574734505
102166706650992
11765993467114
122abb0980b928
131294200c7520
1476c24d9c652
153b56363acb2
hex1f879c7bf70

2166706650992 has 160 divisors (see below), whose sum is σ = 4807008998400. Its totient is φ = 938696822784.

The previous prime is 2166706650967. The next prime is 2166706651033. The reversal of 2166706650992 is 2990566076612.

It is a super-2 number, since 2×21667066509922 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356421809 + ... + 356427887.

It is an arithmetic number, because the mean of its divisors is an integer number (30043806240).

Almost surely, 22166706650992 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 2166706650992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403504499200).

2166706650992 is an abundant number, since it is smaller than the sum of its proper divisors (2640302347408).

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

2166706650992 is a wasteful number, since it uses less digits than its factorization.

2166706650992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7763 (or 7757 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 59.

The spelling of 2166706650992 in words is "two trillion, one hundred sixty-six billion, seven hundred six million, six hundred fifty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 29 37 52 58 74 104 116 148 208 232 296 377 464 481 592 754 962 1073 1508 1597 1924 2146 3016 3194 3848 4292 6032 6079 6388 7696 8584 12158 12776 13949 17168 20761 24316 25552 27898 41522 46313 48632 55796 59089 79027 83044 92626 97264 111592 118178 158054 166088 176291 185252 223184 224923 236356 316108 332176 352582 370504 449846 472712 602069 632216 705164 741008 768157 899692 945424 1204138 1264432 1410328 1536314 1713581 1799384 2291783 2408276 2820656 2923999 3072628 3427162 3598768 4583566 4816552 5847998 6145256 6522767 6854324 9167132 9633104 9708163 11695996 12290512 13045534 13708648 18334264 19416326 22276553 23391992 26091068 27417296 36668528 38832652 44553106 46783984 52182136 77665304 84795971 89106212 104364272 126206119 155330608 169591942 178212424 252412238 281536727 339183884 356424848 359202031 504824476 563073454 678367768 718404062 1009648952 1126146908 1356735536 1436808124 2019297904 2252293816 2873616248 3659977451 4504587632 4669626403 5747232496 7319954902 9339252806 10416858899 14639909804 18678505612 20833717798 29279819608 37357011224 41667435596 58559639216 74714022448 83334871192 135419165687 166669742384 270838331374 541676662748 1083353325496 2166706650992