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19149016480 = 2551114897307
BaseRepresentation
bin10001110101010111…
…101100110110100000
31211102112020211022121
4101311113230312200
5303204122011410
612444045514024
71245346645246
oct216527546640
954375224277
1019149016480
118137136560
123864b72914
131a622b3aa9
14cd9288796
157711c29da
hex4755ecda0

19149016480 has 96 divisors (see below), whose sum is σ = 49392141120. Its totient is φ = 6957649920.

The previous prime is 19149016433. The next prime is 19149016493. The reversal of 19149016480 is 8461094191.

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, 2616987 + ... + 2624293.

It is an arithmetic number, because the mean of its divisors is an integer number (514501470).

Almost surely, 219149016480 is an apocalyptic number.

19149016480 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 19149016480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24696070560).

19149016480 is an abundant number, since it is smaller than the sum of its proper divisors (30243124640).

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

19149016480 is a wasteful number, since it uses less digits than its factorization.

19149016480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8822 (or 8814 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

It can be divided in two parts, 191490164 and 80, that added together give a square (191490244 = 138382).

The spelling of 19149016480 in words is "nineteen billion, one hundred forty-nine million, sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1489 1760 2978 5956 7307 7445 11912 14614 14890 16379 23824 29228 29780 32758 36535 47648 58456 59560 65516 73070 80377 81895 116912 119120 131032 146140 160754 163790 233824 238240 262064 292280 321508 327580 401885 524128 584560 643016 655160 803770 1169120 1286032 1310320 1607540 2572064 2620640 3215080 6430160 10880123 12860320 21760246 43520492 54400615 87040984 108801230 119681353 174081968 217602460 239362706 348163936 435204920 478725412 598406765 870409840 957450824 1196813530 1740819680 1914901648 2393627060 3829803296 4787254120 9574508240 19149016480