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69149013444 = 22347220872
BaseRepresentation
bin100000001100110011…
…0100011010111000100
320121111010001211210000
41000121212203113010
52113104121412234
651433331201300
74665401626200
oct1003146432704
9217433054700
1069149013444
11273648a72a5
1211499a46230
1366a0052304
1434bd9b7b00
151beaa66899
hex10199a35c4

69149013444 has 135 divisors (see below), whose sum is σ = 210383322303. Its totient is φ = 19747394352.

The previous prime is 69149013403. The next prime is 69149013449. The reversal of 69149013444 is 44431094196.

The square root of 69149013444 is 262962.

It is a perfect power (a square), and thus also a powerful number.

69149013444 is a `hidden beast` number, since 6 + 91 + 490 + 1 + 34 + 44 = 666.

It is a super-2 number, since 2×691490134442 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 69149013444.

It is not an unprimeable number, because it can be changed into a prime (69149013449) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 33132169 + ... + 33134255.

Almost surely, 269149013444 is an apocalyptic number.

69149013444 is the 262962-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69149013444

69149013444 is an abundant number, since it is smaller than the sum of its proper divisors (141234308859).

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

69149013444 is an equidigital number, since it uses as much as digits as its factorization.

69149013444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 69149013444 in words is "sixty-nine billion, one hundred forty-nine million, thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2087 2268 2646 3969 4174 5292 6261 7938 8348 12522 14609 15876 18783 25044 29218 37566 43827 56349 58436 75132 87654 102263 112698 131481 169047 175308 204526 225396 262962 306789 338094 394443 409052 525924 613578 676188 788886 920367 1183329 1227156 1577772 1840734 2366658 2761101 3681468 4355569 4733316 5522202 8283303 8711138 11044404 13066707 16566606 17422276 26133414 30488983 33133212 39200121 52266828 60977966 78400242 91466949 117600363 121955932 156800484 182933898 213422881 235200726 274400847 352801089 365867796 426845762 470401452 548801694 640268643 705602178 823202541 853691524 1097603388 1280537286 1411204356 1646405082 1920805929 2469607623 2561074572 3292810164 3841611858 4939215246 5762417787 7683223716 9878430492 11524835574 17287253361 23049671148 34574506722 69149013444