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19314018432 = 27348212269
BaseRepresentation
bin10001111111001101…
…001000100010000000
31211212000201210110000
4101333031020202000
5304023342042212
612512302240000
71252422306432
oct217715104200
954760653400
1019314018432
118211294a05
1238b0286000
131a8a536197
14d1315a652
157809171dc
hex47f348880

19314018432 has 160 divisors (see below), whose sum is σ = 57573578700. Its totient is φ = 6427330560.

The previous prime is 19314018391. The next prime is 19314018497. The reversal of 19314018432 is 23481041391.

It can be written as a sum of positive squares in 2 ways, for example, as 16296054336 + 3017964096 = 127656^2 + 54936^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8510994 + ... + 8513262.

Almost surely, 219314018432 is an apocalyptic number.

19314018432 is a gapful number since it is divisible by the number (12) 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 19314018432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28786789350).

19314018432 is an abundant number, since it is smaller than the sum of its proper divisors (38259560268).

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

19314018432 is an equidigital number, since it uses as much as digits as its factorization.

19314018432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 19314018432 in words is "nineteen billion, three hundred fourteen million, eighteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 821 864 1152 1296 1642 1728 2269 2463 2592 3284 3456 4538 4926 5184 6568 6807 7389 9076 9852 10368 13136 13614 14778 18152 19704 20421 22167 26272 27228 29556 36304 39408 40842 44334 52544 54456 59112 61263 66501 72608 78816 81684 88668 105088 108912 118224 122526 133002 145216 157632 163368 177336 183789 217824 236448 245052 266004 290432 315264 326736 354672 367578 435648 472896 490104 532008 653472 709344 735156 871296 945792 980208 1064016 1306944 1418688 1470312 1862849 1960416 2128032 2613888 2837376 2940624 3725698 3920832 4256064 5588547 5881248 7451396 7841664 8512128 11177094 11762496 14902792 16765641 22354188 23524992 29805584 33531282 44708376 50296923 59611168 67062564 89416752 100593846 119222336 134125128 150890769 178833504 201187692 238444672 268250256 301781538 357667008 402375384 536500512 603563076 715334016 804750768 1073001024 1207126152 1609501536 2146002048 2414252304 3219003072 4828504608 6438006144 9657009216 19314018432