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5477318820 = 2234526912569
BaseRepresentation
bin1010001100111100…
…10100000010100100
3112010201112121220000
411012132110002210
542204143200240
62303301541300
7252506304351
oct50636240244
915121477800
105477318820
112360892776
12108a414830
13693a0206c
1439d631628
15220cde430
hex1467940a4

5477318820 has 120 divisors (see below), whose sum is σ = 17247799800. Its totient is φ = 1455072768.

The previous prime is 5477318797. The next prime is 5477318837. The reversal of 5477318820 is 288137745.

5477318820 is a `hidden beast` number, since 547 + 7 + 3 + 1 + 88 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 857669796 + 4619649024 = 29286^2 + 67968^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 429496 + ... + 442064.

It is an arithmetic number, because the mean of its divisors is an integer number (143731665).

Almost surely, 25477318820 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 5477318820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8623899900).

5477318820 is an abundant number, since it is smaller than the sum of its proper divisors (11770480980).

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

5477318820 is a wasteful number, since it uses less digits than its factorization.

5477318820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12859 (or 12848 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 5477318820 is about 74008.9104094906. The cubic root of 5477318820 is about 1762.7443862117.

The spelling of 5477318820 in words is "five billion, four hundred seventy-seven million, three hundred eighteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 269 270 324 405 538 540 807 810 1076 1345 1614 1620 2421 2690 3228 4035 4842 5380 7263 8070 9684 12105 12569 14526 16140 21789 24210 25138 29052 36315 37707 43578 48420 50276 62845 72630 75414 87156 108945 113121 125690 145260 150828 188535 217890 226242 251380 339363 377070 435780 452484 565605 678726 754140 1018089 1131210 1357452 1696815 2036178 2262420 3381061 3393630 4072356 5090445 6762122 6787260 10143183 10180890 13524244 16905305 20286366 20361780 30429549 33810610 40572732 50715915 60859098 67621220 91288647 101431830 121718196 152147745 182577294 202863660 273865941 304295490 365154588 456443235 547731882 608590980 912886470 1095463764 1369329705 1825772940 2738659410 5477318820