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450329576356 = 22114472592
BaseRepresentation
bin1101000110110011011…
…11000000001110100100
31121001101020112202101101
412203121233000032210
524334233332420411
6542513433405444
744351405145532
oct6433157001644
91531336482341
10450329576356
11163a90340000
127333a569884
133360976305a
1417b205a5152
15baaa1908c1
hex68d9bc03a4

450329576356 has 135 divisors (see below), whose sum is σ = 900982291195. Its totient is φ = 196944449680.

The previous prime is 450329576351. The next prime is 450329576371. The reversal of 450329576356 is 653675923054.

The square root of 450329576356 is 671066.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 450329576297 and 450329576306.

It is not an unprimeable number, because it can be changed into a prime (450329576351) 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, 7632704655 + ... + 7632704713.

Almost surely, 2450329576356 is an apocalyptic number.

450329576356 is the 671066-th square number.

It is an amenable number.

450329576356 is an abundant number, since it is smaller than the sum of its proper divisors (450652714839).

450329576356 is an frugal number, since it uses more digits than its factorization.

450329576356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 55.

The spelling of 450329576356 in words is "four hundred fifty billion, three hundred twenty-nine million, five hundred seventy-six thousand, three hundred fifty-six".

Divisors: 1 2 4 11 22 44 47 59 94 118 121 188 236 242 484 517 649 1034 1298 1331 2068 2209 2596 2662 2773 3481 4418 5324 5546 5687 6962 7139 8836 11092 11374 13924 14278 14641 22748 24299 28556 29282 30503 38291 48598 58564 61006 62557 76582 78529 97196 122012 125114 130331 153164 157058 163607 250228 260662 267289 314116 327214 335533 421201 521324 534578 654428 671066 688127 842402 863819 1069156 1342132 1376254 1433641 1684804 1727638 1799677 2752508 2867282 2940179 3455276 3599354 3690863 4633211 5734564 5880358 7198708 7381726 7689529 9266422 11760716 14763452 15379058 15770051 18532844 19796447 30758116 31540102 32341969 39592894 40599493 50965321 63080204 64683938 79185788 81198986 84584819 101930642 129367876 162397972 169169638 173470561 203861284 217760917 338339276 346941122 435521834 693882244 871043668 930433009 1860866018 1908176171 2395370087 3721732036 3816352342 4790740174 7632704684 9581480348 10234763099 20469526198 40939052396 112582394089 225164788178 450329576356