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5561050600 = 2352712731277
BaseRepresentation
bin1010010110111011…
…01110010111101000
3112100120002122022001
411023131232113220
542342112104400
62315452340344
7254544102340
oct51335562750
915316078261
105561050600
1123a4082696
1210b24746b4
136a816abb1
143aa7c9d20
1522832da6a
hex14b76e5e8

5561050600 has 96 divisors (see below), whose sum is σ = 14893332480. Its totient is φ = 1891572480.

The previous prime is 5561050559. The next prime is 5561050603. The reversal of 5561050600 is 60501655.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (5561050603) 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 23 ways as a sum of consecutive naturals, for example, 162162 + ... + 193438.

It is an arithmetic number, because the mean of its divisors is an integer number (155138880).

Almost surely, 25561050600 is an apocalyptic number.

5561050600 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 5561050600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7446666240).

5561050600 is an abundant number, since it is smaller than the sum of its proper divisors (9332281880).

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

5561050600 is a wasteful number, since it uses less digits than its factorization.

5561050600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31427 (or 31418 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 5561050600 is about 74572.4520181548. The cubic root of 5561050600 is about 1771.6813584916.

The spelling of 5561050600 in words is "five billion, five hundred sixty-one million, fifty thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 127 140 175 200 254 280 350 508 635 700 889 1016 1270 1400 1778 2540 3175 3556 4445 5080 6350 7112 8890 12700 17780 22225 25400 31277 35560 44450 62554 88900 125108 156385 177800 218939 250216 312770 437878 625540 781925 875756 1094695 1251080 1563850 1751512 2189390 3127700 3972179 4378780 5473475 6255400 7944358 8757560 10946950 15888716 19860895 21893900 27805253 31777432 39721790 43787800 55610506 79443580 99304475 111221012 139026265 158887160 198608950 222442024 278052530 397217900 556105060 695131325 794435800 1112210120 1390262650 2780525300 5561050600