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450484663941376 = 28709218712
BaseRepresentation
bin110011001101101101010001…
…0010111101111100100000000
32012002000220122210010121001221
41212123122202113233210000
5433021220042432111001
64234033444142404424
7163613304632033011
oct14633324227574400
92162026583117057
10450484663941376
111205a1522758369
1242636b42590714
13164496a1a5b09c
147d35807373008
1537132173291a1
hex199b6a25ef900

450484663941376 has 81 divisors (see below), whose sum is σ = 900961229528913. Its totient is φ = 224804425528320.

The previous prime is 450484663941289. The next prime is 450484663941427. The reversal of 450484663941376 is 673149366484054.

The square root of 450484663941376 is 21224624.

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., 60115583723776 + 390369080217600 = 7753424^2 + 19757760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 240772133721 + ... + 240772135591.

Almost surely, 2450484663941376 is an apocalyptic number.

450484663941376 is the 21224624-th square number.

It is an amenable number.

450484663941376 is a deficient number, since it is larger than the sum of its proper divisors (450476565587537).

450484663941376 is an frugal number, since it uses more digits than its factorization.

450484663941376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5176 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 70.

The spelling of 450484663941376 in words is "four hundred fifty trillion, four hundred eighty-four billion, six hundred sixty-three million, nine hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 709 1418 1871 2836 3742 5672 7484 11344 14968 22688 29936 45376 59872 90752 119744 181504 239488 478976 502681 1005362 1326539 2010724 2653078 3500641 4021448 5306156 7001282 8042896 10612312 14002564 16085792 21224624 28005128 32171584 42449248 56010256 64343168 84898496 112020512 128686336 169796992 224041024 339593984 448082048 896164096 940516151 1881032302 2481954469 3762064604 4963908938 7524129208 9927817876 15048258416 19855635752 30096516832 39711271504 60193033664 79422543008 120386067328 158845086016 240772134656 317690172032 635380344064 1759705718521 3519411437042 7038822874084 14077645748168 28155291496336 56310582992672 112621165985344 225242331970688 450484663941376