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54442366324445 = 51129101699148341
BaseRepresentation
bin11000110000011110110011…
…11001111100111011011101
321010202122021010010121110102
430120033121321330323131
524113440431234340240
6311442251112550445
714316221406225161
oct1430173171747335
9233678233117412
1054442366324445
111638a972531730
1261333663b2425
13244bb7c236c78
14d6304b68cca1
15646286b1d815
hex3183d9e7cedd

54442366324445 has 64 divisors (see below), whose sum is σ = 74469760404480. Its totient is φ = 37844419200000.

The previous prime is 54442366324429. The next prime is 54442366324471.

54442366324445 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54442366324445 - 24 = 54442366324429 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1126190975 + ... + 1126239315.

It is an arithmetic number, because the mean of its divisors is an integer number (1163590006320).

Almost surely, 254442366324445 is an apocalyptic number.

54442366324445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54442366324445 is a deficient number, since it is larger than the sum of its proper divisors (20027394080035).

54442366324445 is a wasteful number, since it uses less digits than its factorization.

54442366324445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55478.

The product of its digits is 132710400, while the sum is 56.

The spelling of 54442366324445 in words is "fifty-four trillion, four hundred forty-two billion, three hundred sixty-six million, three hundred twenty-four thousand, four hundred forty-five".

Divisors: 1 5 11 29 55 101 145 319 505 1111 1595 2929 5555 6991 14645 32219 34955 48341 76901 161095 202739 241705 384505 531751 706091 1013695 1401889 2230129 2658755 3530455 4882441 7009445 7767001 11150645 15420779 20476639 24412205 38835005 53706851 77103895 102383195 141590789 225243029 268534255 337951931 707953945 1126215145 1557498679 1689759655 3717471241 7787493395 9800605999 18587356205 34133145031 49003029995 107806665989 170665725155 375464595341 539033329945 989861205899 1877322976705 4949306029495 10888473264889 54442366324445