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5649628500 = 22355346499
BaseRepresentation
bin1010100001011111…
…00111110101010100
3112120201202212100000
411100233213311110
543032301103000
62332335051300
7260001023055
oct52057476524
915521685300
105649628500
11243a08256a
121118070b30
136c0612759
143b848672c
15230ec9000
hex150be7d54

5649628500 has 144 divisors (see below), whose sum is σ = 18483192000. Its totient is φ = 1506535200.

The previous prime is 5649628489. The next prime is 5649628559. The reversal of 5649628500 is 58269465.

5649628500 is a `hidden beast` number, since 56 + 4 + 96 + 2 + 8 + 500 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98251 + ... + 144749.

It is an arithmetic number, because the mean of its divisors is an integer number (128355500).

Almost surely, 25649628500 is an apocalyptic number.

5649628500 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 5649628500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9241596000).

5649628500 is an abundant number, since it is smaller than the sum of its proper divisors (12833563500).

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

5649628500 is a wasteful number, since it uses less digits than its factorization.

5649628500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46533 (or 46509 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5649628500 is about 75164.0106700008. The cubic root of 5649628500 is about 1781.0384568724.

The spelling of 5649628500 in words is "five billion, six hundred forty-nine million, six hundred twenty-eight thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 125 135 150 162 180 225 243 250 270 300 324 375 405 450 486 500 540 675 750 810 900 972 1125 1215 1350 1500 1620 2025 2250 2430 2700 3375 4050 4500 4860 6075 6750 8100 10125 12150 13500 20250 24300 30375 40500 46499 60750 92998 121500 139497 185996 232495 278994 418491 464990 557988 697485 836982 929980 1162475 1255473 1394970 1673964 2092455 2324950 2510946 2789940 3487425 3766419 4184910 4649900 5021892 5812375 6277365 6974850 7532838 8369820 10462275 11299257 11624750 12554730 13949700 15065676 17437125 18832095 20924550 22598514 23249500 25109460 31386825 34874250 37664190 41849100 45197028 52311375 56496285 62773650 69748500 75328380 94160475 104622750 112992570 125547300 156934125 188320950 209245500 225985140 282481425 313868250 376641900 470802375 564962850 627736500 941604750 1129925700 1412407125 1883209500 2824814250 5649628500