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2206866042048 = 263211281193859
BaseRepresentation
bin100000000111010011011…
…101110110110011000000
321210222022021210121111010
4200013103131312303000
5242124130201321143
64405453102120520
7315304124564253
oct40072335666300
97728267717433
102206866042048
11780a21390aa8
122b7856b80140
131301501b6305
1478b547bb09a
153c614109a33
hex201d3776cc0

2206866042048 has 112 divisors (see below), whose sum is σ = 5887580929920. Its totient is φ = 729526425600.

The previous prime is 2206866042037. The next prime is 2206866042097. The reversal of 2206866042048 is 8402406686022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2206866041988 and 2206866042006.

It is an unprimeable number.

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, 11286943 + ... + 11480801.

Almost surely, 22206866042048 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 2206866042048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943790464960).

2206866042048 is an abundant number, since it is smaller than the sum of its proper divisors (3680714887872).

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

2206866042048 is a wasteful number, since it uses less digits than its factorization.

2206866042048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194366 (or 194356 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 2206866042048 in words is "two trillion, two hundred six billion, eight hundred sixty-six million, forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 211 281 422 562 633 843 844 1124 1266 1686 1688 2248 2532 3372 3376 4496 5064 6744 6752 8992 10128 13488 13504 17984 20256 26976 40512 53952 59291 118582 177873 193859 237164 355746 387718 474328 581577 711492 775436 948656 1163154 1422984 1550872 1897312 2326308 2845968 3101744 3794624 4652616 5691936 6203488 9305232 11383872 12406976 18610464 37220928 40904249 54474379 81808498 108948758 122712747 163423137 163616996 217897516 245425494 326846274 327233992 435795032 490850988 653692548 654467984 871590064 981701976 1307385096 1308935968 1743180128 1963403952 2614770192 2617871936 3486360256 3926807904 5229540384 7853615808 10459080768 11494093969 22988187938 34482281907 45976375876 68964563814 91952751752 137929127628 183905503504 275858255256 367811007008 551716510512 735622014016 1103433021024 2206866042048