Search a number
-
+
29027234448 = 2432417169247
BaseRepresentation
bin11011000010001010…
…000111001010010000
32202220221212021220100
4123002022013022100
5433421433000243
621200202212400
72045215264452
oct330212071220
982827767810
1029027234448
1111346131963
1257611b4100
1329779a2194
14159518a2d2
15b4d5270d3
hex6c2287290

29027234448 has 120 divisors (see below), whose sum is σ = 84390598656. Its totient is φ = 9306662400.

The previous prime is 29027234447. The next prime is 29027234501. The reversal of 29027234448 is 84443272092.

It is a happy number.

It is a super-3 number, since 3×290272344483 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (29027234447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384561 + ... + 453807.

Almost surely, 229027234448 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 29027234448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42195299328).

29027234448 is an abundant number, since it is smaller than the sum of its proper divisors (55363364208).

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

29027234448 is a wasteful number, since it uses less digits than its factorization.

29027234448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69373 (or 69364 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 29027234448 in words is "twenty-nine billion, twenty-seven million, two hundred thirty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 71 72 82 123 142 144 164 213 246 284 328 369 426 492 568 639 656 738 852 984 1136 1278 1476 1704 1968 2556 2911 2952 3408 5112 5822 5904 8733 10224 11644 17466 23288 26199 34932 46576 52398 69247 69864 104796 138494 139728 207741 209592 276988 415482 419184 553976 623223 830964 1107952 1246446 1661928 2492892 2839127 3323856 4916537 4985784 5678254 8517381 9833074 9971568 11356508 14749611 17034762 19666148 22713016 25552143 29499222 34069524 39332296 44248833 45426032 51104286 58998444 68139048 78664592 88497666 102208572 117996888 136278096 176995332 201578017 204417144 235993776 353990664 403156034 408834288 604734051 707981328 806312068 1209468102 1612624136 1814202153 2418936204 3225248272 3628404306 4837872408 7256808612 9675744816 14513617224 29027234448