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5358072192001 = 19229242012
BaseRepresentation
bin100110111111000010111…
…1111010101110000000001
3200222020010021010011111021
41031332011333111300001
51200241312440121001
615221244150145441
71062052011113644
oct115760577256001
920866107104437
105358072192001
111786389082171
1272651b652281
132cb358131159
14147491315a5b
1594598280ba1
hex4df85fd5c01

5358072192001 has 27 divisors (see below), whose sum is σ = 5858033958153. Its totient is φ = 4899864916800.

The previous prime is 5358072191999. The next prime is 5358072192071. The reversal of 5358072192001 is 1002912708535.

It is a happy number.

The square root of 5358072192001 is 2314751.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1324803302001 + 4033268890000 = 1151001^2 + 2008300^2 .

It is not a de Polignac number, because 5358072192001 - 21 = 5358072191999 is a prime.

It is a super-2 number, since 2×53580721920012 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5358072192071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1275425701 + ... + 1275429901.

Almost surely, 25358072192001 is an apocalyptic number.

5358072192001 is the 2314751-st square number.

5358072192001 is the 1157376-th centered octagonal number.

It is an amenable number.

5358072192001 is a deficient number, since it is larger than the sum of its proper divisors (499961766152).

5358072192001 is an frugal number, since it uses more digits than its factorization.

5358072192001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8498 (or 4249 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 43.

The spelling of 5358072192001 in words is "five trillion, three hundred fifty-eight billion, seventy-two million, one hundred ninety-two thousand, one".

Divisors: 1 19 29 361 551 841 4201 10469 15979 79819 121829 303601 1516561 2314751 3533041 17648401 43980269 67127779 335319619 511803629 1275427801 6371072761 9724268951 14842305241 184761110069 282003799579 5358072192001