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22138380060736 = 2672728092
BaseRepresentation
bin1010000100010011111100…
…10001111000100001000000
32220101102000202210210110111
411002021332101320201000
510400203400243420421
6115030121552041104
74443305460442162
oct502117621704100
986342022723414
1022138380060736
11706591a441685
122596696833194
13c47842912744
14567709134932
15285d0b747ee1
hex14227e478840

22138380060736 has 63 divisors (see below), whose sum is σ = 44045803295949. Its totient is φ = 11040300446208.

The previous prime is 22138380060701. The next prime is 22138380060739. The reversal of 22138380060736 is 63706008383122.

The square root of 22138380060736 is 4705144.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19486432950336 + 2651947110400 = 4414344^2 + 1628480^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22138380060736.

It is not an unprimeable number, because it can be changed into a prime (22138380060739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27365117100 + ... + 27365117908.

Almost surely, 222138380060736 is an apocalyptic number.

22138380060736 is the 4705144-th square number.

It is an amenable number.

22138380060736 is a deficient number, since it is larger than the sum of its proper divisors (21907423235213).

22138380060736 is an frugal number, since it uses more digits than its factorization.

22138380060736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The spelling of 22138380060736 in words is "twenty-two trillion, one hundred thirty-eight billion, three hundred eighty million, sixty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 727 809 1454 1618 2908 3236 5816 6472 11632 12944 23264 25888 46528 51776 528529 588143 654481 1057058 1176286 1308962 2114116 2352572 2617924 4228232 4705144 5235848 8456464 9410288 10471696 16912928 18820576 20943392 33825856 37641152 41886784 427579961 475807687 855159922 951615374 1710319844 1903230748 3420639688 3806461496 6841279376 7612922992 13682558752 15225845984 27365117504 30451691968 345912188449 691824376898 1383648753796 2767297507592 5534595015184 11069190030368 22138380060736