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57444433444475 = 52711353216139119
BaseRepresentation
bin11010000111110110100110…
…00011001011111001111011
321112101122010100001110111122
431003323103003023321323
530012132144430210400
6322101335230015455
715046136416554260
oct1503732303137173
9245348110043448
1057444433444475
1117338058119270
12653914864758b
132608caa0b1bcc
14102847ad13267
156993dca82685
hex343ed30cbe7b

57444433444475 has 96 divisors (see below), whose sum is σ = 89102671349760. Its totient is φ = 35690637312000.

The previous prime is 57444433444457. The next prime is 57444433444481.

57444433444475 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57444433444475 - 28 = 57444433444219 is a prime.

It is a super-3 number, since 3×574444334444753 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1468433966 + ... + 1468473084.

It is an arithmetic number, because the mean of its divisors is an integer number (928152826560).

Almost surely, 257444433444475 is an apocalyptic number.

57444433444475 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57444433444475 is a deficient number, since it is larger than the sum of its proper divisors (31658237905285).

57444433444475 is a wasteful number, since it uses less digits than its factorization.

57444433444475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41661 (or 41656 counting only the distinct ones).

The product of its digits is 722534400, while the sum is 62.

The spelling of 57444433444475 in words is "fifty-seven trillion, four hundred forty-four billion, four hundred thirty-three million, four hundred forty-four thousand, four hundred seventy-five".

Divisors: 1 5 7 11 25 35 55 77 175 275 353 385 1765 1925 2161 2471 3883 8825 10805 12355 15127 19415 23771 27181 39119 54025 61775 75635 97075 118855 135905 166397 195595 273833 378175 430309 594275 679525 762833 831985 977975 1369165 2151545 3012163 3814165 4159925 5339831 6845825 8391163 10757725 13809007 15060815 19070825 26699155 41955815 58738141 69045035 75304075 84536159 96663049 133495775 151899077 209779075 293690705 345225175 422680795 483315245 591753113 759495385 929897749 1063293539 1468453525 2113403975 2416576225 2958765565 3797476925 4649488745 5316467695 6509284243 14793827825 23247443725 26582338475 29841264127 32546421215 149206320635 162732106075 208888848889 328253905397 746031603175 1044444244445 1641269526985 2297777337779 5222221222225 8206347634925 11488886688895 57444433444475