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45552123441 = 331117411971117
BaseRepresentation
bin101010011011000111…
…100011111000110001
311100120121100122001000
4222123013203320301
51221242320422231
632532032032213
73201552442416
oct523307437061
9140517318030
1045552123441
1118355a93610
1289b3392669
1343ac415cc6
1422c1b1210d
1512b91506e6
hexa9b1e3e31

45552123441 has 128 divisors (see below), whose sum is σ = 80328568320. Its totient is φ = 25198387200.

The previous prime is 45552123437. The next prime is 45552123467. The reversal of 45552123441 is 14432125554.

45552123441 is a `hidden beast` number, since 45 + 5 + 52 + 123 + 441 = 666.

It is not a de Polignac number, because 45552123441 - 22 = 45552123437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45552123396 and 45552123405.

It is not an unprimeable number, because it can be changed into a prime (45552123041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40780215 + ... + 40781331.

It is an arithmetic number, because the mean of its divisors is an integer number (627566940).

Almost surely, 245552123441 is an apocalyptic number.

45552123441 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

45552123441 is a deficient number, since it is larger than the sum of its proper divisors (34776444879).

45552123441 is a wasteful number, since it uses less digits than its factorization.

45552123441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1386 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

Adding to 45552123441 its reverse (14432125554), we get a palindrome (59984248995).

The spelling of 45552123441 in words is "forty-five billion, five hundred fifty-two million, one hundred twenty-three thousand, four hundred forty-one".

Divisors: 1 3 9 11 17 27 33 41 51 99 123 153 187 197 297 369 451 459 561 591 697 1107 1117 1353 1683 1773 2091 2167 3349 3351 4059 5049 5319 6273 6501 7667 8077 10047 10053 12177 12287 18819 18989 19503 23001 24231 30141 30159 36839 36861 45797 56967 58509 69003 72693 88847 90423 110517 110583 137309 137391 170901 207009 208879 218079 220049 266541 331551 331749 411927 412173 503767 512703 626637 660147 778549 799623 994653 1235781 1236519 1510399 1511301 1879911 1980441 2335647 2398869 2420539 3707343 3740833 4531197 4533903 5639733 5941323 7006941 7261617 8564039 9022009 11222499 13593591 13601709 21020823 21784851 25692117 27066027 33667497 40780773 41149163 65354553 77076351 81198081 99242099 101002491 123447489 153374153 231229053 243594243 297726297 370342467 460122459 893178891 1111027401 1380367377 1687115683 2679536673 4141102131 5061347049 15184041147 45552123441