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5485906377 = 327271241727
BaseRepresentation
bin1010001101111110…
…00100100111001001
3112011022200220210200
411012333010213021
542213343001002
62304210002413
7252642302100
oct50677044711
915138626720
105485906377
112365718726
121091276409
1369571aa63
143a0829037
15221938b1c
hex146fc49c9

5485906377 has 72 divisors (see below), whose sum is σ = 9399341952. Its totient is φ = 3073593600.

The previous prime is 5485906369. The next prime is 5485906379. The reversal of 5485906377 is 7736095845.

5485906377 is a `hidden beast` number, since 5 + 48 + 590 + 6 + 3 + 7 + 7 = 666.

It is not a de Polignac number, because 5485906377 - 23 = 5485906369 is a prime.

It is a super-2 number, since 2×54859063772 = 60190337554418532258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5485906379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7545588 + ... + 7546314.

It is an arithmetic number, because the mean of its divisors is an integer number (130546416).

Almost surely, 25485906377 is an apocalyptic number.

It is an amenable number.

5485906377 is a deficient number, since it is larger than the sum of its proper divisors (3913435575).

5485906377 is a wasteful number, since it uses less digits than its factorization.

5485906377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 5485906377 is about 74066.9047348409. The cubic root of 5485906377 is about 1763.6651386290.

The spelling of 5485906377 in words is "five billion, four hundred eighty-five million, nine hundred six thousand, three hundred seventy-seven".

Divisors: 1 3 7 9 21 49 63 71 147 213 241 441 497 639 723 727 1491 1687 2169 2181 3479 4473 5061 5089 6543 10437 11809 15183 15267 17111 31311 35427 35623 45801 51333 51617 106281 106869 119777 153999 154851 175207 320607 359331 361319 464553 525621 838439 1077993 1083957 1226449 1576863 2515317 2529233 3251871 3679347 7545951 7587699 8585143 11038041 12439697 22763097 25755429 37319091 77266287 87077879 111957273 261233637 609545153 783700911 1828635459 5485906377