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19471808500 = 2253172134753
BaseRepresentation
bin10010001000100111…
…000011011111110100
31212021000122100201121
4102020213003133310
5304334240333000
612540100233324
71256346432664
oct221047033764
955230570647
1019471808500
118292367a21
12393509b844
131ab4131aa1
14d2a0b21a4
1578e6d4b1a
hex4889c37f4

19471808500 has 72 divisors (see below), whose sum is σ = 45175469976. Its totient is φ = 7330508800.

The previous prime is 19471808497. The next prime is 19471808509. The reversal of 19471808500 is 580817491.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2067339024 + 17404469476 = 45468^2 + 131926^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19471808509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77124 + ... + 211876.

It is an arithmetic number, because the mean of its divisors is an integer number (627437083).

Almost surely, 219471808500 is an apocalyptic number.

19471808500 is a gapful number since it is divisible by the number (10) 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 19471808500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22587734988).

19471808500 is an abundant number, since it is smaller than the sum of its proper divisors (25703661476).

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

19471808500 is a wasteful number, since it uses less digits than its factorization.

19471808500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134806 (or 134777 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 43.

The spelling of 19471808500 in words is "nineteen billion, four hundred seventy-one million, eight hundred eight thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 289 340 425 500 578 850 1156 1445 1700 2125 2890 4250 5780 7225 8500 14450 28900 36125 72250 134753 144500 269506 539012 673765 1347530 2290801 2695060 3368825 4581602 6737650 9163204 11454005 13475300 16844125 22908010 33688250 38943617 45816020 57270025 67376500 77887234 114540050 155774468 194718085 229080100 286350125 389436170 572700250 778872340 973590425 1145400500 1947180850 3894361700 4867952125 9735904250 19471808500