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19145077248 = 293112574409
BaseRepresentation
bin10001110101001000…
…101011001000000000
31211102020211200201010
4101311020223020000
5303202114432443
612443425240520
71245301320513
oct216510531000
954366750633
1019145077248
1181349959a0
123863793140
131a61534a9b
14cd8940d7a
15770b95733
hex47522b200

19145077248 has 160 divisors (see below), whose sum is σ = 55869549120. Its totient is φ = 5777653760.

The previous prime is 19145077229. The next prime is 19145077261. The reversal of 19145077248 is 84277054191.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 19145077197 and 19145077206.

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, 4340068 + ... + 4344476.

It is an arithmetic number, because the mean of its divisors is an integer number (349184682).

Almost surely, 219145077248 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 19145077248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27934774560).

19145077248 is an abundant number, since it is smaller than the sum of its proper divisors (36724471872).

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

19145077248 is a wasteful number, since it uses less digits than its factorization.

19145077248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4698 (or 4682 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 19145077248 in words is "nineteen billion, one hundred forty-five million, seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 257 264 352 384 512 514 528 704 768 771 1028 1056 1408 1536 1542 2056 2112 2816 2827 3084 4112 4224 4409 5632 5654 6168 8224 8448 8481 8818 11308 12336 13227 16448 16896 16962 17636 22616 24672 26454 32896 33924 35272 45232 48499 49344 52908 65792 67848 70544 90464 96998 98688 105816 131584 135696 141088 145497 180928 193996 197376 211632 271392 282176 290994 361856 387992 394752 423264 542784 564352 581988 723712 775984 846528 1085568 1128704 1133113 1163976 1447424 1551968 1693056 2171136 2257408 2266226 2327952 3103936 3386112 3399339 4342272 4532452 4655904 6207872 6772224 6798678 9064904 9311808 12415744 12464243 13597356 18129808 18623616 24831488 24928486 27194712 36259616 37247232 37392729 49856972 54389424 72519232 74494464 74785458 99713944 108778848 145038464 149570916 199427888 217557696 290076928 299141832 398855776 435115392 580153856 598283664 797711552 870230784 1196567328 1595423104 1740461568 2393134656 3190846208 4786269312 6381692416 9572538624 19145077248