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19347000296 = 23134111340153
BaseRepresentation
bin10010000001001010…
…111100101111101000
31211221022210110001112
4102001022330233220
5304110313002141
612515441205452
71253302534451
oct220112745750
954838713045
1019347000296
118228971748
1238bb330888
131a94313490
14d176a4128
1578377e7eb
hex4812bcbe8

19347000296 has 64 divisors (see below), whose sum is σ = 40374043920. Its totient is φ = 8634286080.

The previous prime is 19347000271. The next prime is 19347000301. The reversal of 19347000296 is 69200074391.

It can be written as a sum of positive squares in 8 ways, for example, as 972196 + 19346028100 = 986^2 + 139090^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461756 + ... + 501908.

Almost surely, 219347000296 is an apocalyptic number.

19347000296 is the 80306-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19347000296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20187021960).

19347000296 is an abundant number, since it is smaller than the sum of its proper divisors (21027043624).

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

19347000296 is a wasteful number, since it uses less digits than its factorization.

19347000296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40326 (or 40322 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The spelling of 19347000296 in words is "nineteen billion, three hundred forty-seven million, two hundred ninety-six", and thus it is an aban number.

Divisors: 1 2 4 8 13 26 41 52 82 104 113 164 226 328 452 533 904 1066 1469 2132 2938 4264 4633 5876 9266 11752 18532 37064 40153 60229 80306 120458 160612 240916 321224 481832 521989 1043978 1646273 2087956 3292546 4175912 4537289 6585092 9074578 13170184 18149156 21401549 36298312 42803098 58984757 85606196 117969514 171212392 186028849 235939028 372057698 471878056 744115396 1488230792 2418375037 4836750074 9673500148 19347000296