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166245743352 = 233131078296007
BaseRepresentation
bin1001101011010100000…
…1001011101011111000
3120220002221200210011210
42122311001023223320
510210432402241402
6204212223123120
715003503334333
oct2326501135370
9526087623153
10166245743352
116456042a627
12282774434a0
13128a5217750
14809121161a
1544cee6806c
hex26b504baf8

166245743352 has 128 divisors (see below), whose sum is σ = 452387980800. Its totient is φ = 50604922368.

The previous prime is 166245743351. The next prime is 166245743357. The reversal of 166245743352 is 253347542661.

It is a happy number.

166245743352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166245743351) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 27672333 + ... + 27678339.

It is an arithmetic number, because the mean of its divisors is an integer number (3534281100).

Almost surely, 2166245743352 is an apocalyptic number.

166245743352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166245743352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226193990400).

166245743352 is an abundant number, since it is smaller than the sum of its proper divisors (286142237448).

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

166245743352 is a wasteful number, since it uses less digits than its factorization.

166245743352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6965 (or 6961 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 48.

The spelling of 166245743352 in words is "one hundred sixty-six billion, two hundred forty-five million, seven hundred forty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 107 156 214 312 321 428 642 829 856 1284 1391 1658 2487 2568 2782 3316 4173 4974 5564 6007 6632 8346 9948 10777 11128 12014 16692 18021 19896 21554 24028 32331 33384 36042 43108 48056 64662 72084 78091 86216 88703 129324 144168 156182 177406 234273 258648 266109 312364 354812 468546 532218 624728 642749 709624 937092 1064436 1153139 1285498 1874184 1928247 2128872 2306278 2570996 3459417 3856494 4612556 4979803 5141992 6918834 7712988 8355737 9225112 9959606 13837668 14939409 15425976 16711474 19919212 25067211 27675336 29878818 33422948 39838424 50134422 59757636 64737439 66845896 100268844 119515272 129474878 194212317 200537688 258949756 388424634 517899512 532838921 776849268 1065677842 1553698536 1598516763 2131355684 3197033526 4262711368 6394067052 6926905973 12788134104 13853811946 20780717919 27707623892 41561435838 55415247784 83122871676 166245743352