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19429618360 = 2352923371887
BaseRepresentation
bin10010000110000110…
…000111001010111000
31212011002020212201211
4102012012013022320
5304242440241420
612531552052504
71255325013445
oct220606071270
955132225654
1019429618360
118270570939
123922b34134
131aa847c3c9
14d2464c9cc
1578ab4de5a
hex4861872b8

19429618360 has 64 divisors (see below), whose sum is σ = 45418838400. Its totient is φ = 7471543296.

The previous prime is 19429618357. The next prime is 19429618363. The reversal of 19429618360 is 6381692491.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19429618357) and next prime (19429618363).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19429618363) 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, 234337 + ... + 306223.

It is an arithmetic number, because the mean of its divisors is an integer number (709669350).

Almost surely, 219429618360 is an apocalyptic number.

19429618360 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 19429618360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22709419200).

19429618360 is an abundant number, since it is smaller than the sum of its proper divisors (25989220040).

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

19429618360 is a wasteful number, since it uses less digits than its factorization.

19429618360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72160 (or 72156 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The spelling of 19429618360 in words is "nineteen billion, four hundred twenty-nine million, six hundred eighteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 233 290 466 580 932 1160 1165 1864 2330 4660 6757 9320 13514 27028 33785 54056 67570 71887 135140 143774 270280 287548 359435 575096 718870 1437740 2084723 2875480 4169446 8338892 10423615 16677784 16749671 20847230 33499342 41694460 66998684 83388920 83748355 133997368 167496710 334993420 485740459 669986840 971480918 1942961836 2428702295 3885923672 4857404590 9714809180 19429618360