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42726287292 = 223132315312823
BaseRepresentation
bin100111110010101011…
…110110011110111100
311002021200001021120220
4213302223312132330
51200000412143132
631343404341340
73041540310153
oct476253663674
9132250037526
1042726287292
111713596a037
128344b44850
13404bb41100
1420d46c459a
1511a1010a2c
hex9f2af67bc

42726287292 has 144 divisors (see below), whose sum is σ = 113547184128. Its totient is φ = 12481447680.

The previous prime is 42726287291. The next prime is 42726287347. The reversal of 42726287292 is 29278262724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42726287291) 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 47 ways as a sum of consecutive naturals, for example, 3325593 + ... + 3338415.

It is an arithmetic number, because the mean of its divisors is an integer number (788522112).

Almost surely, 242726287292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42726287292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56773592064).

42726287292 is an abundant number, since it is smaller than the sum of its proper divisors (70820896836).

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

42726287292 is a wasteful number, since it uses less digits than its factorization.

42726287292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12940 (or 12925 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 51.

The spelling of 42726287292 in words is "forty-two billion, seven hundred twenty-six million, two hundred eighty-seven thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 53 62 78 93 106 124 156 159 169 186 212 318 338 372 403 507 636 676 689 806 1014 1209 1378 1612 1643 2028 2067 2418 2756 3286 4134 4836 4929 5239 6572 8268 8957 9858 10478 12823 15717 17914 19716 20956 21359 25646 26871 31434 35828 38469 42718 51292 53742 62868 64077 76938 85436 107484 128154 153876 166699 256308 277667 333398 397513 500097 555334 666796 679619 795026 833001 1000194 1110668 1192539 1359238 1590052 1666002 2000388 2038857 2167087 2385078 2718476 3332004 4077714 4334174 4770156 5167669 6501261 8155428 8668348 8835047 10335338 13002522 15503007 17670094 20670676 21068189 26005044 26505141 31006014 35340188 42136378 53010282 62012028 63204567 67179697 84272756 106020564 114855611 126409134 134359394 201539091 229711222 252818268 268718788 273886457 344566833 403078182 459422444 547772914 689133666 806156364 821659371 1095545828 1378267332 1643318742 3286637484 3560523941 7121047882 10681571823 14242095764 21363143646 42726287292