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54557344375545 = 35113183587218923
BaseRepresentation
bin11000110011110100111110…
…01000011010001011111001
321011011122001010121210011110
430121322133020122023321
524122331420130004140
6312011144211350533
714330431565436144
oct1431723710321371
9234148033553143
1054557344375545
1116424704658260
1261516b42b2449
132459973b7922b
14d68837a5d05b
15649265c84380
hex319e9f21a2f9

54557344375545 has 128 divisors (see below), whose sum is σ = 99653476220928. Its totient is φ = 25247135865600.

The previous prime is 54557344375529. The next prime is 54557344375603.

54557344375545 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54557344375545 - 24 = 54557344375529 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 249098454 + ... + 249317376.

It is an arithmetic number, because the mean of its divisors is an integer number (778542782976).

Almost surely, 254557344375545 is an apocalyptic number.

54557344375545 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54557344375545 is a deficient number, since it is larger than the sum of its proper divisors (45096131845383).

54557344375545 is a wasteful number, since it uses less digits than its factorization.

54557344375545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219643.

The product of its digits is 1764000000, while the sum is 66.

The spelling of 54557344375545 in words is "fifty-four trillion, five hundred fifty-seven billion, three hundred forty-four million, three hundred seventy-five thousand, five hundred forty-five".

Divisors: 1 3 5 11 15 31 33 55 83 93 155 165 249 341 415 465 587 913 1023 1245 1705 1761 2573 2739 2935 4565 5115 6457 7719 8805 12865 13695 18197 19371 28303 32285 38595 48721 54591 84909 90985 96855 141515 146163 200167 218923 243605 272955 424545 535931 600501 656769 730815 1000835 1094615 1510351 1607793 2408153 2679655 3002505 3283845 4531053 6786613 7224459 7551755 8038965 12040765 16613861 18170609 20359839 22655265 33933065 36122295 49841583 54511827 74652743 83069305 90853045 101799195 128507801 199876699 223958229 249207915 272559135 373263715 385523403 563288879 599630097 642539005 999383495 1119791145 1413585811 1689866637 1927617015 2816444395 2998150485 3983741831 4240757433 6196177669 7067929055 8449333185 10666147483 11951225493 18588533007 19918709155 21203787165 30980888345 31998442449 43821160141 53330737415 59756127465 92942665035 117327622313 131463480423 159992212245 219105800705 330650571973 351982866939 586638111565 657317402115 991951715919 1653252859865 1759914334695 3637156291703 4959758579595 10911468875109 18185781458515 54557344375545