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54542644624545 = 35711198741284341
BaseRepresentation
bin11000110011011001100101…
…11101010011110010100001
321011010020002200110001200020
430121230302331103302201
524122111314010441140
6312000313420544053
714326401402554220
oct1431546275236241
9234106080401606
1054542644624545
1116419450a6a810
12614a8913b2029
1324584705b740c
14d67c41674cb7
15648ba54cc6d0
hex319b32f53ca1

54542644624545 has 128 divisors (see below), whose sum is σ = 114541874565120. Its totient is φ = 21471537024000.

The previous prime is 54542644624537. The next prime is 54542644624547.

54542644624545 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54542644624545 - 23 = 54542644624537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54542644624547) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 191679075 + ... + 191963415.

It is an arithmetic number, because the mean of its divisors is an integer number (894858395040).

Almost surely, 254542644624545 is an apocalyptic number.

54542644624545 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54542644624545 is an abundant number, since it is smaller than the sum of its proper divisors (59999229940575).

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

54542644624545 is a wasteful number, since it uses less digits than its factorization.

54542644624545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293127.

The product of its digits is 368640000, while the sum is 60.

The spelling of 54542644624545 in words is "fifty-four trillion, five hundred forty-two billion, six hundred forty-four million, six hundred twenty-four thousand, five hundred forty-five".

Divisors: 1 3 5 7 11 15 19 21 33 35 55 57 77 95 105 133 165 209 231 285 385 399 627 665 1045 1155 1463 1995 3135 4389 7315 8741 21945 26223 43705 61187 96151 131115 166079 183561 284341 288453 305935 480755 498237 673057 830395 853023 917805 1162553 1421705 1442265 1826869 1990387 2019171 2491185 3127751 3365285 3487659 4265115 5402479 5480607 5812765 5971161 9134345 9383253 9951935 10095855 12788083 15638755 16207437 17438295 21894257 27012395 27403035 29855805 37817353 38364249 46916265 59427269 63940415 65682771 81037185 109471285 113452059 178281807 189086765 191821245 297136345 328413855 415990883 567260295 891409035 1247972649 2079954415 2485424681 6239863245 7456274043 12427123405 17397972767 27339671491 37281370215 47223068939 52193918301 82019014473 86989863835 136698357455 141669206817 191377700437 236115344695 260969591505 330561482573 410095072365 519453758329 574133101311 708346034085 956888502185 991684447719 1558361274987 1652807412865 2597268791645 2870665506555 3636176308303 4958422238595 7791806374935 10908528924909 18180881541515 54542644624545