Search a number
-
+
291494169604 = 22114232972
BaseRepresentation
bin1000011110111100110…
…10000000110000000100
31000212101201201001222201
410033132122000300010
514233440001411404
6341524403404244
730026332363111
oct4173632006004
91025351631881
10291494169604
11102692950000
12485b0983684
1321645871981
1410173605908
1578b0a97ca4
hex43de680c04

291494169604 has 135 divisors (see below), whose sum is σ = 592689719685. Its totient is φ = 125430032640.

The previous prime is 291494169557. The next prime is 291494169643. The reversal of 291494169604 is 406961494192.

The square root of 291494169604 is 539902.

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

It can be written as a sum of positive squares in only one way, i.e., 130892004100 + 160602165504 = 361790^2 + 400752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3005094484 + ... + 3005094580.

Almost surely, 2291494169604 is an apocalyptic number.

291494169604 is the 539902-nd square number.

It is an amenable number.

291494169604 is an abundant number, since it is smaller than the sum of its proper divisors (301195550081).

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

291494169604 is an frugal number, since it uses more digits than its factorization.

291494169604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 55.

The spelling of 291494169604 in words is "two hundred ninety-one billion, four hundred ninety-four million, one hundred sixty-nine thousand, six hundred four".

Divisors: 1 2 4 11 22 23 44 46 92 97 121 194 242 253 388 484 506 529 1012 1058 1067 1331 2116 2134 2231 2662 2783 4268 4462 5324 5566 5819 8924 9409 11132 11638 11737 14641 18818 23276 23474 24541 29282 30613 37636 46948 49082 51313 58564 61226 64009 98164 102626 103499 122452 128018 129107 205252 206998 216407 256036 258214 269951 336743 413996 432814 516428 539902 564443 673486 704099 865628 1079804 1128886 1138489 1346972 1408198 1420177 2257772 2276978 2380477 2816396 2840354 2969461 4553956 4760954 4977361 5680708 5938922 6208873 7745089 9521908 9954722 11877844 12417746 12523379 15490178 19909444 24835492 25046758 26185247 30980356 32664071 50093516 52370494 54750971 65328142 68297603 104740988 109501942 130656284 136595206 137757169 219003884 273190412 275514338 288037717 551028676 576075434 602260681 751273633 1152150868 1204521362 1502547266 2409042724 3005094532 3168414887 6336829774 6624867491 12673659548 13249734982 26499469964 72873542401 145747084802 291494169604