Search a number
-
+
29248398018 = 23272674631069
BaseRepresentation
bin11011001111010101…
…110010001011000010
32210111101000120021200
4123033111302023002
5434400042214033
621234142402030
72053542165300
oct331725621302
983441016250
1029248398018
1111449a5a374
125803290316
1329b17593b8
1415b66bb270
15b62b62013
hex6cf5722c2

29248398018 has 144 divisors (see below), whose sum is σ = 75049902720. Its totient is φ = 8206494912.

The previous prime is 29248398013. The next prime is 29248398019. The reversal of 29248398018 is 81089384292.

29248398018 is a `hidden beast` number, since 2 + 9 + 248 + 398 + 0 + 1 + 8 = 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 not an unprimeable number, because it can be changed into a prime (29248398013) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27359988 + ... + 27361056.

It is an arithmetic number, because the mean of its divisors is an integer number (521179880).

Almost surely, 229248398018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29248398018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37524951360).

29248398018 is an abundant number, since it is smaller than the sum of its proper divisors (45801504702).

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

29248398018 is a wasteful number, since it uses less digits than its factorization.

29248398018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 29248398018 in words is "twenty-nine billion, two hundred forty-eight million, three hundred ninety-eight thousand, eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 67 98 126 134 147 201 294 402 441 463 469 603 882 926 938 1069 1206 1389 1407 2138 2778 2814 3207 3241 3283 4167 4221 6414 6482 6566 7483 8334 8442 9621 9723 9849 14966 19242 19446 19698 22449 22687 29169 29547 31021 44898 45374 52381 58338 59094 62042 67347 68061 71623 93063 104762 134694 136122 143246 157143 186126 204183 214869 217147 279189 314286 408366 429738 434294 471429 494947 501361 558378 644607 651441 942858 989894 1002722 1289214 1302882 1484841 1504083 1520029 1954323 2969682 3008166 3040058 3464629 3509527 3908646 4454523 4512249 4560087 6929258 7019054 8909046 9024498 9120174 10393887 10528581 13680261 20787774 21057162 24252403 27360522 31181661 31585743 33161449 48504806 62363322 63171486 66322898 72757209 99484347 145514418 198968694 218271627 232130143 298453041 436543254 464260286 596906082 696390429 1392780858 1624911001 2089171287 3249822002 4178342574 4874733003 9749466006 14624199009 29248398018