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457673224953 = 374172435113
BaseRepresentation
bin1101010100011110111…
…00110011001011111001
31121202100000220202102110
412222033130303023321
524444303321144303
6550130245322533
745031366140000
oct6521734631371
91552300822373
10457673224953
1116710967097a
1274849a06449
133420a00a259
1418219a17c37
15bd89c3b703
hex6a8f7332f9

457673224953 has 120 divisors (see below), whose sum is σ = 773971334048. Its totient is φ = 240372292608.

The previous prime is 457673224823. The next prime is 457673224991. The reversal of 457673224953 is 359422376754.

It is not a de Polignac number, because 457673224953 - 236 = 388953748217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 457673224893 and 457673224902.

It is not an unprimeable number, because it can be changed into a prime (457673224753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 89509125 + ... + 89514237.

Almost surely, 2457673224953 is an apocalyptic number.

457673224953 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

457673224953 is a deficient number, since it is larger than the sum of its proper divisors (316298109095).

457673224953 is an equidigital number, since it uses as much as digits as its factorization.

457673224953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5221 (or 5183 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 57.

The spelling of 457673224953 in words is "four hundred fifty-seven billion, six hundred seventy-three million, two hundred twenty-four thousand, nine hundred fifty-three".

Divisors: 1 3 7 17 21 43 49 51 119 129 147 289 301 343 357 731 833 867 903 1029 2023 2107 2193 2401 2499 5113 5117 5831 6069 6321 7203 12427 14161 14749 15339 15351 17493 35791 35819 37281 40817 42483 44247 86921 86989 99127 103243 107373 107457 122451 219859 250537 250733 260763 260967 297381 309729 608447 608923 659577 693889 751611 752199 1477657 1539013 1753759 1755131 1825341 1826769 2081667 3737603 4259129 4262461 4432971 4617039 5261277 5265393 10343599 10773091 11212809 12276313 12777387 12787383 26163221 29813903 29837227 31030797 32319273 36828939 63539251 72405193 75411637 78489663 89441709 89511681 183142547 190617753 208697321 217215579 226234911 444774757 506836351 527881459 549427641 626091963 1281997829 1334324271 1520509053 1583644377 3113423299 3547854457 3845993487 8973984803 9340269897 10643563371 21793963093 26921954409 65381889279 152557741651 457673224953