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453930977536 = 2817224772
BaseRepresentation
bin1101001101100000110…
…01010000100100000000
31121101200020012220001021
412212300121100210000
524414122312240121
6544311044115224
744536555434451
oct6466031204400
91541606186037
10453930977536
11165569226013
1273b84695b14
1333a61913b7a
1417d829db128
15bc1b42c641
hex69b0650900

453930977536 has 81 divisors (see below), whose sum is σ = 962912124139. Its totient is φ = 213528338432.

The previous prime is 453930977509. The next prime is 453930977543. The reversal of 453930977536 is 635779039354.

The square root of 453930977536 is 673744.

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

It can be written as a sum of positive squares in 4 ways, for example, as 38988871936 + 414942105600 = 197456^2 + 644160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 183257130 + ... + 183259606.

Almost surely, 2453930977536 is an apocalyptic number.

453930977536 is the 673744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453930977536

453930977536 is an abundant number, since it is smaller than the sum of its proper divisors (508981146603).

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

453930977536 is an frugal number, since it uses more digits than its factorization.

453930977536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 64297800, while the sum is 61.

The spelling of 453930977536 in words is "four hundred fifty-three billion, nine hundred thirty million, nine hundred seventy-seven thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 544 578 1088 1156 2176 2312 2477 4352 4624 4954 9248 9908 18496 19816 36992 39632 42109 73984 79264 84218 158528 168436 317056 336872 634112 673744 715853 1347488 1431706 2694976 2863412 5389952 5726824 6135529 10779904 11453648 12271058 22907296 24542116 45814592 49084232 91629184 98168464 104303993 183258368 196336928 208607986 392673856 417215972 785347712 834431944 1570695424 1668863888 1773167881 3337727776 3546335762 6675455552 7092671524 13350911104 14185343048 26701822208 28370686096 56741372192 113482744384 226965488768 453930977536