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8437141104 = 243756944131
BaseRepresentation
bin1111101101110010…
…01000111001110000
3210202222222011202120
413312321020321300
5114234402003404
63513113114240
7416036342010
oct76671107160
923688864676
108437141104
11363a600a97
1217756b8980
13a45c89bb2
145a0779c40
15345a989d9
hex1f6e48e70

8437141104 has 80 divisors (see below), whose sum is σ = 24953998080. Its totient is φ = 2406320640.

The previous prime is 8437141103. The next prime is 8437141169. The reversal of 8437141104 is 4011417348.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8437141103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169119 + ... + 213249.

It is an arithmetic number, because the mean of its divisors is an integer number (311924976).

Almost surely, 28437141104 is an apocalyptic number.

8437141104 is a gapful number since it is divisible by the number (84) 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 8437141104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12476999040).

8437141104 is an abundant number, since it is smaller than the sum of its proper divisors (16516856976).

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

8437141104 is a wasteful number, since it uses less digits than its factorization.

8437141104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44718 (or 44712 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 8437141104 is about 91853.9117512150. The cubic root of 8437141104 is about 2035.7843470406.

The spelling of 8437141104 in words is "eight billion, four hundred thirty-seven million, one hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 569 1138 1707 2276 3414 3983 4552 6828 7966 9104 11949 13656 15932 23898 27312 31864 44131 47796 63728 88262 95592 132393 176524 191184 264786 308917 353048 529572 617834 706096 926751 1059144 1235668 1853502 2118288 2471336 3707004 4942672 7414008 14828016 25110539 50221078 75331617 100442156 150663234 175773773 200884312 301326468 351547546 401768624 527321319 602652936 703095092 1054642638 1205305872 1406190184 2109285276 2812380368 4218570552 8437141104