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4162928163968 = 2772257632
BaseRepresentation
bin111100100101000001110…
…110101011110010000000
3112201222020121202222202102
4330211001312223302000
51021201134102221333
612504231154005532
7606522145360400
oct74450166536200
915658217688672
104162928163968
11136554046a752
125729782768a8
132427408b7452
141056b5aba800
1573449a4bae8
hex3c941dabc80

4162928163968 has 72 divisors (see below), whose sum is σ = 9647721556155. Its totient is φ = 1784042819328.

The previous prime is 4162928163949. The next prime is 4162928163971. The reversal of 4162928163968 is 8693618292614.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 2081464081984 + 2081464081984 = 1442728^2 + 1442728^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1442728.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 161572655 + ... + 161598417.

Almost surely, 24162928163968 is an apocalyptic number.

It is an amenable number.

4162928163968 is an abundant number, since it is smaller than the sum of its proper divisors (5484793392187).

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

4162928163968 is an frugal number, since it uses more digits than its factorization.

4162928163968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51554 (or 25772 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 65.

The spelling of 4162928163968 in words is "four trillion, one hundred sixty-two billion, nine hundred twenty-eight million, one hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 25763 51526 103052 180341 206104 360682 412208 721364 824416 1262387 1442728 1648832 2524774 2885456 3297664 5049548 5770912 10099096 11541824 20198192 23083648 40396384 80792768 161585536 663732169 1327464338 2654928676 4646125183 5309857352 9292250366 10619714704 18584500732 21239429408 32522876281 37169001464 42478858816 65045752562 74338002928 84957717632 130091505124 148676005856 260183010248 297352011712 520366020496 594704023424 1040732040992 2081464081984 4162928163968