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19052388648 = 23331715313389
BaseRepresentation
bin10001101111100111…
…000110000100101000
31211011210102121212000
4101233213012010220
5303004402414043
612430314451000
71243064426406
oct215747060450
954153377760
1019052388648
118097638647
123838733a60
131a48281167
14cca4d4476
157679872d3
hex46f9c6128

19052388648 has 128 divisors (see below), whose sum is σ = 56089584000. Its totient is φ = 5971553280.

The previous prime is 19052388647. The next prime is 19052388659. The reversal of 19052388648 is 84688325091.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 19052388594 and 19052388603.

It is not an unprimeable number, because it can be changed into a prime (19052388647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5620138 + ... + 5623526.

It is an arithmetic number, because the mean of its divisors is an integer number (438199875).

Almost surely, 219052388648 is an apocalyptic number.

19052388648 is a gapful number since it is divisible by the number (18) 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 19052388648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28044792000).

19052388648 is an abundant number, since it is smaller than the sum of its proper divisors (37037195352).

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

19052388648 is a wasteful number, since it uses less digits than its factorization.

19052388648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4952 (or 4942 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 19052388648 in words is "nineteen billion, fifty-two million, three hundred eighty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1531 1836 3062 3389 3672 4593 6124 6778 9186 10167 12248 13556 13779 18372 20334 26027 27112 27558 30501 36744 40668 41337 52054 55116 57613 61002 78081 81336 82674 91503 104108 110232 115226 122004 156162 165348 172839 183006 208216 230452 234243 244008 312324 330696 345678 366012 460904 468486 518517 624648 691356 702729 732024 936972 1037034 1382712 1405458 1555551 1873944 2074068 2810916 3111102 4148136 5188559 5621832 6222204 10377118 12444408 15565677 20754236 31131354 41508472 46697031 62262708 88205503 93394062 124525416 140091093 176411006 186788124 264616509 280182186 352822012 373576248 529233018 560364372 705644024 793849527 1058466036 1120728744 1587699054 2116932072 2381548581 3175398108 4763097162 6350796216 9526194324 19052388648