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45545466454554 = 23112177393499159
BaseRepresentation
bin10100101101100011000010…
…10110010110001000011010
312222021002210212102001101110
422112301201112112020122
521432204103403021204
6240511144244001150
712410360055134403
oct1226614126261032
9188232725361343
1045545466454554
111356a7a649a300
1251370246901b6
131c54bc4229031
14b365ab6569aa
1553eb1e8ed889
hex296c6159621a

45545466454554 has 96 divisors (see below), whose sum is σ = 106028987541120. Its totient is φ = 12988011294720.

The previous prime is 45545466454507. The next prime is 45545466454589.

45545466454554 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90994827 + ... + 91493985.

It is an arithmetic number, because the mean of its divisors is an integer number (1104468620220).

Almost surely, 245545466454554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45545466454554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53014493770560).

45545466454554 is an abundant number, since it is smaller than the sum of its proper divisors (60483521086566).

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

45545466454554 is a wasteful number, since it uses less digits than its factorization.

45545466454554 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506596 (or 506585 counting only the distinct ones).

The product of its digits is 2304000000, while the sum is 66.

The spelling of 45545466454554 in words is "forty-five trillion, five hundred forty-five billion, four hundred sixty-six million, four hundred fifty-four thousand, five hundred fifty-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 187 242 363 374 561 726 1122 2057 4114 6171 7393 12342 14786 22179 44358 81323 125681 162646 243969 251362 377043 487938 499159 754086 894553 998318 1382491 1497477 1789106 2683659 2764982 2994954 4147473 5367318 5490749 8294946 8485703 10981498 15207401 16472247 16971406 25457109 30414802 32944494 45622203 50914218 60398239 91244406 93342733 120796478 181194717 186685466 280028199 362389434 560056398 1026770063 2053540126 3080310189 3690282487 6160620378 7380564974 11070847461 22141694922 40593107357 62734802279 81186214714 121779322071 125469604558 188204406837 243558644142 376408813674 446524180927 690082825069 893048361854 1339572542781 1380165650138 2070248475207 2679145085562 4140496950414 7590911075759 15181822151518 22772733227277 45545466454554