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5507346540 = 22353111326203
BaseRepresentation
bin1010010000100001…
…10111000001101100
3112012211001012011210
411020100313001230
542234340042130
62310253314420
7253322446623
oct51020670154
915184035153
105507346540
112376831a73
121098495a10
13699cb6847
143a360a6ba
152237715b0
hex14843706c

5507346540 has 96 divisors (see below), whose sum is σ = 16059488256. Its totient is φ = 1408619520.

The previous prime is 5507346539. The next prime is 5507346557. The reversal of 5507346540 is 456437055.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197079 + ... + 223281.

It is an arithmetic number, because the mean of its divisors is an integer number (167286336).

Almost surely, 25507346540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5507346540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8029744128).

5507346540 is an abundant number, since it is smaller than the sum of its proper divisors (10552141716).

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

5507346540 is a wasteful number, since it uses less digits than its factorization.

5507346540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26359 (or 26357 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 39.

The square root of 5507346540 is about 74211.4987047156. The cubic root of 5507346540 is about 1765.9597526939.

The spelling of 5507346540 in words is "five billion, five hundred seven million, three hundred forty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 113 124 155 186 226 310 339 372 452 465 565 620 678 930 1130 1356 1695 1860 2260 3390 3503 6780 7006 10509 14012 17515 21018 26203 35030 42036 52406 52545 70060 78609 104812 105090 131015 157218 210180 262030 314436 393045 524060 786090 812293 1572180 1624586 2436879 2960939 3249172 4061465 4873758 5921878 8122930 8882817 9747516 11843756 12184395 14804695 16245860 17765634 24368790 29609390 35531268 44414085 48737580 59218780 88828170 91789109 177656340 183578218 275367327 367156436 458945545 550734654 917891090 1101469308 1376836635 1835782180 2753673270 5507346540