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2192726468142 = 2327219433042943
BaseRepresentation
bin11111111010001000101…
…011101010011000101110
321202121210212200211111200
4133322020223222120232
5241411200433440032
64355154042030330
7314263543311600
oct37721053523056
97677725624450
102192726468142
11775a25a21931
122b4b6b7a83a6
1312ba089b9032
14781b2971170
153c087b0647c
hex1fe88aea62e

2192726468142 has 144 divisors (see below), whose sum is σ = 5952728770560. Its totient is φ = 579716966304.

The previous prime is 2192726468117. The next prime is 2192726468143. The reversal of 2192726468142 is 2418646272912.

2192726468142 is a `hidden beast` number, since 2 + 19 + 2 + 7 + 26 + 468 + 142 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2192726468143) 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 71 ways as a sum of consecutive naturals, for example, 800878 + ... + 2242065.

It is an arithmetic number, because the mean of its divisors is an integer number (41338394240).

Almost surely, 22192726468142 is an apocalyptic number.

2192726468142 is an abundant number, since it is smaller than the sum of its proper divisors (3760002302418).

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

2192726468142 is a wasteful number, since it uses less digits than its factorization.

2192726468142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043027 (or 3043017 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 2192726468142 in words is "two trillion, one hundred ninety-two billion, seven hundred twenty-six million, four hundred sixty-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 43 49 57 63 86 98 114 126 129 133 147 171 258 266 294 301 342 387 399 441 602 774 798 817 882 903 931 1197 1634 1806 1862 2107 2394 2451 2709 2793 4214 4902 5418 5586 5719 6321 7353 8379 11438 12642 14706 16758 17157 18963 34314 37926 40033 51471 80066 102942 120099 240198 360297 720594 3042943 6085886 9128829 18257658 21300601 27386487 42601202 54772974 57815917 63901803 115631834 127803606 130846549 149104207 173447751 191705409 261693098 298208414 346895502 383410818 392539647 404711419 447312621 520343253 785079294 809422838 894625242 915925843 1040686506 1177618941 1214134257 1341937863 1831851686 2355237882 2428268514 2486084431 2683875726 2747777529 2832979933 3642402771 4972168862 5495555058 5665959866 6411480901 7284805542 7458253293 8243332587 8498939799 12822961802 14916506586 16486665174 16997879598 17402591017 19234442703 22374759879 25496819397 34805182034 38468885406 44749519758 50993638794 52207773051 57703328109 104415546102 115406656218 121818137119 156623319153 243636274238 313246638306 365454411357 730908822714 1096363234071 2192726468142