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5540115546 = 2327535931399
BaseRepresentation
bin1010010100011011…
…10111010001011010
3112022002201000210200
411022031313101122
542321232144141
62313423523030
7254201130240
oct51215672132
915262630720
105540115546
112393283899
1210a7459476
136a3a1aca4
143a7ada790
15226595ab6
hex14a37745a

5540115546 has 96 divisors (see below), whose sum is σ = 14010796800. Its totient is φ = 1549297152.

The previous prime is 5540115541. The next prime is 5540115613. The reversal of 5540115546 is 6455110455.

5540115546 is a `hidden beast` number, since 55 + 40 + 11 + 554 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5540115546.

It is not an unprimeable number, because it can be changed into a prime (5540115541) 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 47 ways as a sum of consecutive naturals, for example, 3959355 + ... + 3960753.

It is an arithmetic number, because the mean of its divisors is an integer number (145945800).

Almost surely, 25540115546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5540115546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7005398400).

5540115546 is an abundant number, since it is smaller than the sum of its proper divisors (8470681254).

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

5540115546 is a wasteful number, since it uses less digits than its factorization.

5540115546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 5540115546 is about 74431.9524532307. The cubic root of 5540115546 is about 1769.4553471190.

The spelling of 5540115546 in words is "five billion, five hundred forty million, one hundred fifteen thousand, five hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 159 318 371 477 593 742 954 1113 1186 1399 1779 2226 2798 3339 3558 4151 4197 5337 6678 8302 8394 9793 10674 12453 12591 19586 24906 25182 29379 31429 37359 58758 62858 74147 74718 88137 94287 148294 176274 188574 220003 222441 282861 440006 444882 519029 565722 660009 667323 829607 1038058 1320018 1334646 1557087 1659214 1980027 2488821 3114174 3960054 4671261 4977642 5807249 7466463 9342522 11614498 14932926 17421747 34843494 43969171 52265241 87938342 104530482 131907513 263815026 307784197 395722539 615568394 791445078 923352591 1846705182 2770057773 5540115546