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19107117568 = 297111134289
BaseRepresentation
bin10001110010110111…
…110111101000000000
31211022121102010211001
4101302313313220000
5303112410230233
612435551501344
71244330551060
oct216267675000
954277363731
1019107117568
118115519260
123852b27854
131a56703b36
14cd389d3a0
1576c69827d
hex472df7a00

19107117568 has 160 divisors (see below), whose sum is σ = 48029604480. Its totient is φ = 7376732160.

The previous prime is 19107117551. The next prime is 19107117569. The reversal of 19107117568 is 86571170191.

It is not an unprimeable number, because it can be changed into a prime (19107117569) 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 15 ways as a sum of consecutive naturals, for example, 4452768 + ... + 4457056.

It is an arithmetic number, because the mean of its divisors is an integer number (300185028).

Almost surely, 219107117568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19107117568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24014802240).

19107117568 is an abundant number, since it is smaller than the sum of its proper divisors (28922486912).

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

19107117568 is a wasteful number, since it uses less digits than its factorization.

19107117568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4438 (or 4422 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 46.

The spelling of 19107117568 in words is "nineteen billion, one hundred seven million, one hundred seventeen thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 113 128 154 176 224 226 256 308 352 448 452 512 616 704 791 896 904 1232 1243 1408 1582 1792 1808 2464 2486 2816 3164 3584 3616 4289 4928 4972 5632 6328 7232 8578 8701 9856 9944 12656 14464 17156 17402 19712 19888 25312 28928 30023 34312 34804 39424 39776 47179 50624 57856 60046 68624 69608 79552 94358 101248 120092 137248 139216 159104 188716 202496 240184 274496 278432 318208 330253 377432 404992 480368 484657 548992 556864 636416 660506 754864 960736 969314 1097984 1113728 1321012 1509728 1921472 1938628 2195968 2227456 2642024 3019456 3392599 3842944 3877256 4454912 5284048 5331227 6038912 6785198 7685888 7754512 10568096 10662454 12077824 13570396 15371776 15509024 21136192 21324908 24155648 27140792 31018048 37318589 42272384 42649816 54281584 62036096 74637178 84544768 85299632 108563168 124072192 149274356 169089536 170599264 217126336 248144384 298548712 341198528 434252672 597097424 682397056 868505344 1194194848 1364794112 1737010688 2388389696 2729588224 4776779392 9553558784 19107117568