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18991506688 = 287113131079
BaseRepresentation
bin10001101011111110…
…110110010100000000
31211000112212111111121
4101223332312110000
5302343311203223
612420301522024
71241425100110
oct215376662400
954015774447
1018991506688
118066235080
123820273314
131a3878592b
14cc23a7040
1576245d15d
hex46bfb6500

18991506688 has 144 divisors (see below), whose sum is σ = 48789135360. Its totient is φ = 7160371200.

The previous prime is 18991506679. The next prime is 18991506707. The reversal of 18991506688 is 88660519981.

It is a congruent number.

It is an unprimeable number.

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, 595533 + ... + 626611.

It is an arithmetic number, because the mean of its divisors is an integer number (338813440).

Almost surely, 218991506688 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 18991506688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24394567680).

18991506688 is an abundant number, since it is smaller than the sum of its proper divisors (29797628672).

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

18991506688 is a wasteful number, since it uses less digits than its factorization.

18991506688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31144 (or 31130 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 61.

The spelling of 18991506688 in words is "eighteen billion, nine hundred ninety-one million, five hundred six thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 64 77 88 112 124 128 154 176 217 224 248 256 308 341 352 434 448 496 616 682 704 868 896 992 1232 1364 1408 1736 1792 1984 2387 2464 2728 2816 3472 3968 4774 4928 5456 6944 7936 9548 9856 10912 13888 19096 19712 21824 27776 31079 38192 43648 55552 62158 76384 87296 124316 152768 217553 248632 305536 341869 435106 497264 611072 683738 870212 963449 994528 1367476 1740424 1926898 1989056 2393083 2734952 3480848 3853796 3978112 4786166 5469904 6744143 6961696 7707592 7956224 9572332 10597939 10939808 13488286 13923392 15415184 19144664 21195878 21879616 26976572 27846784 30830368 38289328 42391756 43759232 53953144 55693568 61660736 74185573 76578656 84783512 87518464 107906288 123321472 148371146 153157312 169567024 215812576 246642944 296742292 306314624 339134048 431625152 593484584 612629248 678268096 863250304 1186969168 1356536192 1726500608 2373938336 2713072384 4747876672 9495753344 18991506688