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5555661000 = 233533750051
BaseRepresentation
bin1010010110010010…
…01010100011001000
3112100011221211011020
411023021022203020
542334222123000
62315141032440
7254450224251
oct51311124310
915304854136
105555661000
1123a103137a
1210b06b5720
136a7001996
143a9bc5b28
15227b16ba0
hex14b24a8c8

5555661000 has 128 divisors (see below), whose sum is σ = 17802495360. Its totient is φ = 1441440000.

The previous prime is 5555660989. The next prime is 5555661031. The reversal of 5555661000 is 1665555.

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, 85975 + ... + 136025.

It is an arithmetic number, because the mean of its divisors is an integer number (139081995).

Almost surely, 25555661000 is an apocalyptic number.

5555661000 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 5555661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8901247680).

5555661000 is an abundant number, since it is smaller than the sum of its proper divisors (12246834360).

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

5555661000 is a wasteful number, since it uses less digits than its factorization.

5555661000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50112 (or 50098 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The square root of 5555661000 is about 74536.3065894736. The cubic root of 5555661000 is about 1771.1088203777.

The spelling of 5555661000 in words is "five billion, five hundred fifty-five million, six hundred sixty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 740 750 888 925 1000 1110 1480 1500 1850 2220 2775 3000 3700 4440 4625 5550 7400 9250 11100 13875 18500 22200 27750 37000 50051 55500 100102 111000 150153 200204 250255 300306 400408 500510 600612 750765 1001020 1201224 1251275 1501530 1851887 2002040 2502550 3003060 3703774 3753825 5005100 5555661 6006120 6256375 7407548 7507650 9259435 10010200 11111322 12512750 14815096 15015300 18518870 18769125 22222644 25025500 27778305 30030600 37037740 37538250 44445288 46297175 50051000 55556610 74075480 75076500 92594350 111113220 138891525 150153000 185188700 222226440 231485875 277783050 370377400 462971750 555566100 694457625 925943500 1111132200 1388915250 1851887000 2777830500 5555661000