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5442554552445 = 335378335337189
BaseRepresentation
bin100111100110011000110…
…0001111110000001111101
3201021022011222120202002000
41033030301201332001331
51203132322431134240
615324135224252513
71101132401250543
oct117146141760175
921238158522060
105442554552445
1118091a1180a6a
1273a978611139
133062ccaa484a
1414b5c74c7d93
1596890006430
hex4f33187e07d

5442554552445 has 128 divisors (see below), whose sum is σ = 10085642380800. Its totient is φ = 2782238367744.

The previous prime is 5442554552441. The next prime is 5442554552453.

5442554552445 is a `hidden beast` number, since 5 + 4 + 4 + 2 + 5 + 545 + 52 + 4 + 45 = 666.

5442554552445 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5442554552445 - 22 = 5442554552441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5442554552391 and 5442554552400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5442554552441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 146329911 + ... + 146367099.

It is an arithmetic number, because the mean of its divisors is an integer number (78794081100).

Almost surely, 25442554552445 is an apocalyptic number.

It is an amenable number.

5442554552445 is a deficient number, since it is larger than the sum of its proper divisors (4643087828355).

5442554552445 is a wasteful number, since it uses less digits than its factorization.

5442554552445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37676 (or 37670 counting only the distinct ones).

The product of its digits is 64000000, while the sum is 54.

The spelling of 5442554552445 in words is "five trillion, four hundred forty-two billion, five hundred fifty-four million, five hundred fifty-two thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 27 37 45 83 111 135 185 249 333 353 415 555 747 999 1059 1245 1665 1765 2241 3071 3177 3735 4995 5295 9213 9531 11205 13061 15355 15885 27639 29299 37189 39183 46065 47655 65305 82917 87897 111567 117549 138195 146495 185945 195915 263691 334701 352647 414585 439485 557835 587745 791073 1004103 1084063 1318455 1375993 1673505 1763235 3086687 3252189 3955365 4127979 5020515 5420315 6879965 9260061 9756567 12383937 13127717 15433435 16260945 20639895 27780183 29269701 37151811 39383151 46300305 48782835 61919685 65638585 83340549 114207419 118149453 138900915 146348505 185759055 196915755 342622257 354448359 416702745 485725529 571037095 590747265 1027866771 1089600511 1457176587 1713111285 1772241795 2428627645 3083600313 3268801533 4371529761 5139333855 5448002555 7285882935 9806404599 13114589283 15418001565 16344007665 21857648805 29419213797 40315218907 49032022995 65572946415 120945656721 147096068985 201576094535 362836970163 604728283605 1088510910489 1814184850815 5442554552445