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457438834755 = 33571947542063
BaseRepresentation
bin1101010100000010111…
…10101011000001000011
31121201201200212111112000
412222001132223001003
524443313320203010
6550051113435043
745022521640440
oct6520136530103
91551650774460
10457438834755
11166aa932a071
12747a340ba83
13341a05a1926
14181d68429c7
15bd7438c7c0
hex6a817ab043

457438834755 has 128 divisors (see below), whose sum is σ = 999132364800. Its totient is φ = 193893409152.

The previous prime is 457438834669. The next prime is 457438834799. The reversal of 457438834755 is 557438834754.

It is a happy number.

457438834755 is a `hidden beast` number, since 4 + 57 + 4 + 38 + 83 + 475 + 5 = 666.

It is not a de Polignac number, because 457438834755 - 216 = 457438769219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 457438834692 and 457438834701.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 572854 + ... + 1114916.

It is an arithmetic number, because the mean of its divisors is an integer number (7805721600).

Almost surely, 2457438834755 is an apocalyptic number.

457438834755 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

457438834755 is an abundant number, since it is smaller than the sum of its proper divisors (541693530045).

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

457438834755 is a wasteful number, since it uses less digits than its factorization.

457438834755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542150 (or 542144 counting only the distinct ones).

The product of its digits is 225792000, while the sum is 63.

Subtracting 457438834755 from its reverse (557438834754), we obtain a palindrome (99999999999).

The spelling of 457438834755 in words is "four hundred fifty-seven billion, four hundred thirty-eight million, eight hundred thirty-four thousand, seven hundred fifty-five".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 47 57 63 95 105 133 135 141 171 189 235 285 315 329 399 423 513 665 705 855 893 945 987 1197 1269 1645 1995 2115 2565 2679 2961 3591 4465 4935 5985 6251 6345 8037 8883 13395 14805 17955 18753 24111 31255 40185 44415 56259 93765 120555 168777 281295 542063 843885 1626189 2710315 3794441 4878567 8130945 10299197 11383323 14635701 18972205 24392835 25476961 30897591 34149969 51495985 56916615 72094379 73178505 76430883 92692773 102449907 127384805 154487955 170749845 178338727 216283137 229292649 278078319 360471895 382154415 463463865 484062259 512249535 535016181 648849411 687877947 891693635 1081415685 1146463245 1390391595 1452186777 1605048543 1946548233 2420311295 2675080905 3244247055 3388435813 3439389735 4356560331 4815145629 7260933885 8025242715 9732741165 10165307439 13069680993 16942179065 21782801655 24075728145 30495922317 50826537195 65348404965 91487766951 152479611585 457438834755