Search a number
-
+
1998548749824 = 29311166770957
BaseRepresentation
bin11101000101010010110…
…010011100111000000000
321002001121022001200222120
4131011102302130320000
5230221011434443244
64130042015404240
7264250621040004
oct35052262347000
97061538050876
101998548749824
11700641738080
122833b9b23680
131166019b0463
146ca31c3a704
1536ec08b2819
hex1d152c9ce00

1998548749824 has 160 divisors (see below), whose sum is σ = 5811848482176. Its totient is φ = 605249003520.

The previous prime is 1998548749801. The next prime is 1998548749831. The reversal of 1998548749824 is 4289478458991.

It is a self number, because there is not a number n which added to its sum of digits gives 1998548749824.

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, 28130154 + ... + 28201110.

Almost surely, 21998548749824 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 1998548749824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905924241088).

1998548749824 is an abundant number, since it is smaller than the sum of its proper divisors (3813299732352).

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

1998548749824 is a wasteful number, since it uses less digits than its factorization.

1998548749824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72656 (or 72640 counting only the distinct ones).

The product of its digits is 1672151040, while the sum is 78.

The spelling of 1998548749824 in words is "one trillion, nine hundred ninety-eight billion, five hundred forty-eight million, seven hundred forty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 1667 2112 2816 3334 4224 5001 5632 6668 8448 10002 13336 16896 18337 20004 26672 36674 40008 53344 55011 70957 73348 80016 106688 110022 141914 146696 160032 212871 213376 220044 283828 293392 320064 425742 426752 440088 567656 586784 640128 780527 851484 853504 880176 1135312 1173568 1280256 1561054 1702968 1760352 2270624 2341581 2347136 2560512 3122108 3405936 3520704 4541248 4683162 4694272 6244216 6811872 7041408 9082496 9366324 9388544 12488432 13623744 14082816 18164992 18732648 24976864 27247488 28165632 36329984 37465296 49953728 54494976 74930592 99907456 108989952 118285319 149861184 199814912 236570638 299722368 354855957 399629824 473141276 599444736 709711914 946282552 1198889472 1301138509 1419423828 1892565104 2602277018 2838847656 3785130208 3903415527 5204554036 5677695312 7570260416 7806831054 10409108072 11355390624 15140520832 15613662108 20818216144 22710781248 30281041664 31227324216 41636432288 45421562496 60562083328 62454648432 83272864576 90843124992 124909296864 166545729152 181686249984 249818593728 333091458304 499637187456 666182916608 999274374912 1998548749824