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5616066000 = 243532813331
BaseRepresentation
bin1010011101011111…
…00101110111010000
3112111101121201020110
411032233211313100
543000203103000
62325135441320
7256112526156
oct51657456720
915441551213
105616066000
112422139566
121108986240
136b669109c
143b3c2b3d6
1522d099850
hex14ebe5dd0

5616066000 has 160 divisors (see below), whose sum is σ = 18176086656. Its totient is φ = 1491840000.

The previous prime is 5616065951. The next prime is 5616066007. The reversal of 5616066000 is 6606165.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5616066007) 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 31 ways as a sum of consecutive naturals, for example, 1684335 + ... + 1687665.

Almost surely, 25616066000 is an apocalyptic number.

5616066000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5616066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9088043328).

5616066000 is an abundant number, since it is smaller than the sum of its proper divisors (12560020656).

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

5616066000 is a wasteful number, since it uses less digits than its factorization.

5616066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 5616066000 is about 74940.4163319100. The cubic root of 5616066000 is about 1777.5046041489.

The spelling of 5616066000 in words is "five billion, six hundred sixteen million, sixty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 281 300 375 400 500 562 600 750 843 1000 1124 1200 1405 1500 1686 2000 2248 2810 3000 3331 3372 4215 4496 5620 6000 6662 6744 7025 8430 9993 11240 13324 13488 14050 16655 16860 19986 21075 22480 26648 28100 33310 33720 35125 39972 42150 49965 53296 56200 66620 67440 70250 79944 83275 84300 99930 105375 112400 133240 140500 159888 166550 168600 199860 210750 249825 266480 281000 333100 337200 399720 416375 421500 499650 562000 666200 799440 832750 843000 936011 999300 1249125 1332400 1665500 1686000 1872022 1998600 2498250 2808033 3331000 3744044 3997200 4680055 4996500 5616066 6662000 7488088 9360110 9993000 11232132 14040165 14976176 18720220 19986000 22464264 23400275 28080330 37440440 44928528 46800550 56160660 70200825 74880880 93601100 112321320 117001375 140401650 187202200 224642640 234002750 280803300 351004125 374404400 468005500 561606600 702008250 936011000 1123213200 1404016500 1872022000 2808033000 5616066000