Search a number
-
+
450364494096 = 243311412311553
BaseRepresentation
bin1101000110110111101…
…00001101000100010000
31121001110200020202112000
412203123310031010100
524334321302302341
6542521122034000
744352311015526
oct6433364150420
91531420222460
10450364494096
11163aa901a240
127334a1a8900
1333613a6a53a
1417b25094316
15baad28b8b6
hex68dbd0d110

450364494096 has 160 divisors (see below), whose sum is σ = 1444628787840. Its totient is φ = 133145395200.

The previous prime is 450364494091. The next prime is 450364494101. The reversal of 450364494096 is 690494463054.

450364494096 is a `hidden beast` number, since 4 + 5 + 0 + 3 + 64 + 494 + 0 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (450364494091) and next prime (450364494101).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (450364494091) 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 31 ways as a sum of consecutive naturals, for example, 960945 + ... + 1350608.

It is an arithmetic number, because the mean of its divisors is an integer number (9028929924).

Almost surely, 2450364494096 is an apocalyptic number.

It is an amenable number.

450364494096 is an abundant number, since it is smaller than the sum of its proper divisors (994264293744).

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

450364494096 is a wasteful number, since it uses less digits than its factorization.

450364494096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311622 (or 2311610 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 450364494096 in words is "four hundred fifty billion, three hundred sixty-four million, four hundred ninety-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 41 44 48 54 66 72 82 88 99 108 123 132 144 164 176 198 216 246 264 297 328 369 396 432 451 492 528 594 656 738 792 902 984 1107 1188 1353 1476 1584 1804 1968 2214 2376 2706 2952 3608 4059 4428 4752 5412 5904 7216 8118 8856 10824 12177 16236 17712 21648 24354 32472 48708 64944 97416 194832 2311553 4623106 6934659 9246212 13869318 18492424 20803977 25427083 27738636 36984848 41607954 50854166 55477272 62411931 76281249 83215908 94773673 101708332 110954544 124823862 152562498 166431816 189547346 203416664 228843747 249647724 284321019 305124996 332863632 379094692 406833328 457687494 499295448 568642038 610249992 686531241 758189384 852963057 915374988 998590896 1042510403 1137284076 1220499984 1373062482 1516378768 1705926114 1830749976 2085020806 2274568152 2558889171 2746124964 3127531209 3411852228 3661499952 4170041612 4549136304 5117778342 5492249928 6255062418 6823704456 8340083224 9382593627 10235556684 10984499856 12510124836 13647408912 16680166448 18765187254 20471113368 25020249672 28147780881 37530374508 40942226736 50040499344 56295561762 75060749016 112591123524 150121498032 225182247048 450364494096