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19440509946 = 231113195932011
BaseRepresentation
bin10010000110101111…
…101010001111111010
31212011211202020011220
4102012233222033322
5304303232304241
612533021332510
71255516415364
oct220657521772
955154666156
1019440509946
11827672a950
123926707136
131aaa7c3a30
14d25c85d34
1578baa1166
hex486bea3fa

19440509946 has 128 divisors (see below), whose sum is σ = 48187560960. Its totient is φ = 5140454400.

The previous prime is 19440509941. The next prime is 19440509947. The reversal of 19440509946 is 64990504491.

It is not an unprimeable number, because it can be changed into a prime (19440509941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9666081 + ... + 9668091.

It is an arithmetic number, because the mean of its divisors is an integer number (376465320).

Almost surely, 219440509946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19440509946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24093780480).

19440509946 is an abundant number, since it is smaller than the sum of its proper divisors (28747051014).

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

19440509946 is a wasteful number, since it uses less digits than its factorization.

19440509946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652.

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 19440509946 in words is "nineteen billion, four hundred forty million, five hundred nine thousand, nine hundred forty-six".

Divisors: 1 2 3 6 11 13 19 22 26 33 38 39 57 66 78 114 143 209 247 286 418 429 494 593 627 741 858 1186 1254 1482 1779 2011 2717 3558 4022 5434 6033 6523 7709 8151 11267 12066 13046 15418 16302 19569 22121 22534 23127 26143 33801 38209 39138 44242 46254 52286 66363 67602 76418 78429 84799 114627 123937 132726 146471 156858 169598 229254 247874 254397 287573 292942 371811 420299 439413 496717 508794 575146 743622 840598 862719 878826 993434 1192523 1260897 1490151 1611181 1725438 2385046 2521794 2980302 3222362 3577569 4833543 5463887 7155138 9667086 10927774 13117753 15502799 16391661 22657937 26235506 31005598 32783322 39353259 45315874 46508397 67973811 78706518 93016794 135947622 170530789 249237307 294553181 341061578 498474614 511592367 589106362 747711921 883659543 1023184734 1495423842 1767319086 3240084991 6480169982 9720254973 19440509946