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2192056542531 = 35232915786143
BaseRepresentation
bin11111111001100000110…
…000000110010101000011
321202120002012010002100000
4133321200300012111003
5241403312433330111
64355003351131043
7314241130115652
oct37714060062503
97676065102300
102192056542531
117757118538a9
122b4a03373a83
1312b92cc7974b
147814b9c5199
153c048dc4c56
hex1fe60c06543

2192056542531 has 96 divisors (see below), whose sum is σ = 3567105884160. Its totient is φ = 1341020064384.

The previous prime is 2192056542491. The next prime is 2192056542587. The reversal of 2192056542531 is 1352456502912.

2192056542531 is a `hidden beast` number, since 2 + 1 + 9 + 2 + 0 + 56 + 542 + 53 + 1 = 666.

It is not a de Polignac number, because 2192056542531 - 215 = 2192056509763 is a prime.

It is a super-2 number, since 2×21920565425312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2192056542631) 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 95 ways as a sum of consecutive naturals, for example, 25403646 + ... + 25489788.

It is an arithmetic number, because the mean of its divisors is an integer number (37157352960).

Almost surely, 22192056542531 is an apocalyptic number.

2192056542531 is a deficient number, since it is larger than the sum of its proper divisors (1375049341629).

2192056542531 is a wasteful number, since it uses less digits than its factorization.

2192056542531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86367 (or 86355 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 2192056542531 in words is "two trillion, one hundred ninety-two billion, fifty-six million, five hundred forty-two thousand, five hundred thirty-one".

Divisors: 1 3 9 23 27 29 69 81 87 157 207 243 261 471 621 667 783 1413 1863 2001 2349 3611 4239 4553 5589 6003 7047 10833 12717 13659 18009 32499 38151 40977 54027 86143 97497 104719 122931 162081 258429 292491 314157 368793 775287 877473 942471 1106379 1981289 2325861 2498147 2827413 5943867 6977583 7494441 8482239 13524451 17831601 20932749 22483323 25446717 40573353 53494803 57457381 67449969 121720059 160484409 172372143 202349907 311062373 365160177 392209079 481453227 517116429 607049721 933187119 1095480531 1176627237 1551349287 2799561357 3286441593 3529881711 4654047861 8398684071 9020808817 10589645133 13962143583 25196052213 27062426451 31768935399 75588156639 81187279353 95306806197 243561838059 730685514177 2192056542531