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42728979192 = 233231393731493
BaseRepresentation
bin100111110010110110…
…000111101011111000
311002021212010001011220
4213302312013223320
51200002104313232
631343542152040
73041602221234
oct476266075370
9132255101156
1042728979192
1117137438549
128345a22620
13404c574453
1420d4bc55c4
1511a139342c
hex9f2d87af8

42728979192 has 128 divisors (see below), whose sum is σ = 112645209600. Its totient is φ = 13480422912.

The previous prime is 42728979173. The next prime is 42728979193. The reversal of 42728979192 is 29197982724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42728979193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28618798 + ... + 28620290.

It is an arithmetic number, because the mean of its divisors is an integer number (880040700).

Almost surely, 242728979192 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 42728979192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56322604800).

42728979192 is an abundant number, since it is smaller than the sum of its proper divisors (69916230408).

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

42728979192 is a wasteful number, since it uses less digits than its factorization.

42728979192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2033 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 60.

The spelling of 42728979192 in words is "forty-two billion, seven hundred twenty-eight million, nine hundred seventy-nine thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 139 184 276 278 373 417 552 556 746 834 1112 1119 1492 1493 1668 2238 2984 2986 3197 3336 4476 4479 5972 6394 8579 8952 8958 9591 11944 12788 17158 17916 19182 25576 25737 34316 34339 35832 38364 51474 51847 68632 68678 76728 102948 103017 103694 137356 155541 205896 206034 207388 207527 274712 311082 412068 414776 415054 556889 622164 622581 824136 830108 1113778 1192481 1244328 1245162 1660216 1670667 2227556 2384962 2490324 3341334 3577443 4455112 4769924 4773121 4980648 6682668 7154886 9539848 9546242 12808447 13365336 14309772 14319363 19092484 25616894 28619544 28638726 38184968 38425341 51233788 57277452 76850682 77407571 102467576 114554904 153701364 154815142 232222713 307402728 309630284 464445426 619260568 928890852 1780374133 1857781704 3560748266 5341122399 7121496532 10682244798 14242993064 21364489596 42728979192