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20970126168 = 2332359364063
BaseRepresentation
bin10011100001111010…
…101011101101011000
32000010102222210011120
4103201322223231120
5320421323014133
613344502325240
71341442063035
oct234172535530
960112883146
1020970126168
1189910a9192
124092a29820
131c926853a4
14102d09838c
1582aeeaab3
hex4e1eabb58

20970126168 has 64 divisors (see below), whose sum is σ = 54797783040. Its totient is φ = 6674747904.

The previous prime is 20970126167. The next prime is 20970126223. The reversal of 20970126168 is 86162107902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20970126167) 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 15 ways as a sum of consecutive naturals, for example, 295305 + ... + 359367.

It is an arithmetic number, because the mean of its divisors is an integer number (856215360).

Almost surely, 220970126168 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 20970126168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27398891520).

20970126168 is an abundant number, since it is smaller than the sum of its proper divisors (33827656872).

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

20970126168 is a wasteful number, since it uses less digits than its factorization.

20970126168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64688 (or 64684 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 20970126168 in words is "twenty billion, nine hundred seventy million, one hundred twenty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 593 1186 1779 2372 3558 4744 7116 13639 14232 27278 40917 54556 64063 81834 109112 128126 163668 192189 256252 327336 384378 512504 768756 1473449 1537512 2946898 4420347 5893796 8840694 11787592 17681388 35362776 37989359 75978718 113968077 151957436 227936154 303914872 455872308 873755257 911744616 1747510514 2621265771 3495021028 5242531542 6990042056 10485063084 20970126168