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1166804329044 = 2232931201153783
BaseRepresentation
bin10000111110101010111…
…101010010001001010100
311010112201121012022011210
4100332222331102021110
5123104103402012134
62252004510101420
7150204333104154
oct20765275221124
94115647168153
101166804329044
1140a925697192
1216a1744aa870
138604c13b663
144068b900764
152054076b2e9
hex10faaf52254

1166804329044 has 96 divisors (see below), whose sum is σ = 2908776407040. Its totient is φ = 363222115200.

The previous prime is 1166804329043. The next prime is 1166804329057. The reversal of 1166804329044 is 4409234086611.

It is a happy number.

It is a super-2 number, since 2×11668043290442 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1166804328984 and 1166804329002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166804329043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21667777 + ... + 21721559.

It is an arithmetic number, because the mean of its divisors is an integer number (30299754240).

Almost surely, 21166804329044 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 1166804329044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454388203520).

1166804329044 is an abundant number, since it is smaller than the sum of its proper divisors (1741972077996).

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

1166804329044 is a wasteful number, since it uses less digits than its factorization.

1166804329044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55861 (or 55859 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 1166804329044 in words is "one trillion, one hundred sixty-six billion, eight hundred four million, three hundred twenty-nine thousand, forty-four".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 348 372 899 1798 2011 2697 3596 4022 5394 6033 8044 10788 12066 24132 53783 58319 62341 107566 116638 124682 161349 174957 187023 215132 233276 249364 322698 349914 374046 645396 699828 748092 1559707 1667273 1807889 3119414 3334546 3615778 4679121 5001819 5423667 6238828 6669092 7231556 9358242 10003638 10847334 18716484 20007276 21694668 48350917 96701834 108157613 145052751 193403668 216315226 290105502 324472839 432630452 580211004 648945678 1297891356 3136570777 3352886003 6273141554 6705772006 9409712331 10058658009 12546283108 13411544012 18819424662 20117316018 37638849324 40234632036 97233694087 194467388174 291701082261 388934776348 583402164522 1166804329044