Search a number
-
+
29278597770 = 2345198322921
BaseRepresentation
bin11011010001001000…
…111111001010001010
32210120110211212120000
4123101020333022022
5434430310112040
621241141543430
72054356655232
oct332110771212
983513755500
1029278597770
1111465006944
125811414b76
1329b7aa1286
1415ba6dccc2
15b6562a130
hex6d123f28a

29278597770 has 160 divisors (see below), whose sum is σ = 83872514880. Its totient is φ = 7307262720.

The previous prime is 29278597759. The next prime is 29278597771. The reversal of 29278597770 is 7779587292.

It is a junction number, because it is equal to n+sod(n) for n = 29278597698 and 29278597707.

It is not an unprimeable number, because it can be changed into a prime (29278597771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1265910 + ... + 1288830.

It is an arithmetic number, because the mean of its divisors is an integer number (524203218).

Almost surely, 229278597770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29278597770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41936257440).

29278597770 is an abundant number, since it is smaller than the sum of its proper divisors (54593917110).

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

29278597770 is a wasteful number, since it uses less digits than its factorization.

29278597770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23042 (or 23033 counting only the distinct ones).

The product of its (nonzero) digits is 31116960, while the sum is 63.

The spelling of 29278597770 in words is "twenty-nine billion, two hundred seventy-eight million, five hundred ninety-seven thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 83 90 95 114 135 162 166 171 190 249 270 285 342 405 415 498 513 570 747 810 830 855 1026 1245 1494 1539 1577 1710 2241 2490 2565 3078 3154 3735 4482 4731 5130 6723 7470 7695 7885 9462 11205 13446 14193 15390 15770 22410 22921 23655 28386 33615 42579 45842 47310 67230 68763 70965 85158 114605 127737 137526 141930 206289 212895 229210 255474 343815 412578 425790 435499 618867 638685 687630 870998 1031445 1237734 1277370 1306497 1856601 1902443 2062890 2177495 2612994 3094335 3713202 3804886 3919491 4354990 5707329 6188670 6532485 7838982 9283005 9512215 11414658 11758473 13064970 17121987 18566010 19024430 19597455 23516946 28536645 34243974 35275419 36146417 39194910 51365961 57073290 58792365 70550838 72292834 85609935 102731922 108439251 117584730 154097883 171219870 176377095 180732085 216878502 256829805 308195766 325317753 352754190 361464170 513659610 542196255 650635506 770489415 975953259 1084392510 1540978830 1626588765 1951906518 2927859777 3253177530 4879766295 5855719554 9759532590 14639298885 29278597770