Search a number
-
+
1999101456 = 24321110312253
BaseRepresentation
bin111011100100111…
…1101111000010000
312011022122212122200
41313021331320100
513043232221311
6530211403200
7100353040062
oct16711757020
95138585580
101999101456
11936493570
124795b3500
1325b221391
1414d703732
15ba786556
hex7727de10

1999101456 has 120 divisors (see below), whose sum is σ = 6163075776. Its totient is φ = 599857920.

The previous prime is 1999101449. The next prime is 1999101463. The reversal of 1999101456 is 6541019991.

1999101456 is a `hidden beast` number, since 1 + 9 + 99 + 101 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (1999101449) and next prime (1999101463).

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 23 ways as a sum of consecutive naturals, for example, 157026 + ... + 169278.

Almost surely, 21999101456 is an apocalyptic number.

1999101456 is a gapful number since it is divisible by the number (16) 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 1999101456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081537888).

1999101456 is an abundant number, since it is smaller than the sum of its proper divisors (4163974320).

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

1999101456 is a wasteful number, since it uses less digits than its factorization.

1999101456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12381 (or 12372 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The square root of 1999101456 is about 44711.3123940687. The cubic root of 1999101456 is about 1259.7323392146.

The spelling of 1999101456 in words is "one billion, nine hundred ninety-nine million, one hundred one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 103 132 144 176 198 206 264 309 396 412 528 618 792 824 927 1133 1236 1584 1648 1854 2266 2472 3399 3708 4532 4944 6798 7416 9064 10197 12253 13596 14832 18128 20394 24506 27192 36759 40788 49012 54384 73518 81576 98024 110277 134783 147036 163152 196048 220554 269566 294072 404349 441108 539132 588144 808698 882216 1078264 1213047 1262059 1617396 1764432 2156528 2426094 2524118 3234792 3786177 4852188 5048236 6469584 7572354 9704376 10096472 11358531 13882649 15144708 19408752 20192944 22717062 27765298 30289416 41647947 45434124 55530596 60578832 83295894 90868248 111061192 124943841 166591788 181736496 222122384 249887682 333183576 499775364 666367152 999550728 1999101456