Search a number
-
+
19282010000 = 245411175291
BaseRepresentation
bin10001111101010011…
…000001111110010000
31211202210111121010112
4101331103001332100
5303442143310000
612505200220452
71251553244411
oct217523017620
954683447115
1019282010000
1181a5212560
1238a160a728
131a83a09c96
14d0cbc7808
1577cbe3235
hex47d4c1f90

19282010000 has 100 divisors (see below), whose sum is σ = 50927935344. Its totient is φ = 7011600000.

The previous prime is 19282009963. The next prime is 19282010017. The reversal of 19282010000 is 1028291.

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 22355 + ... + 197645.

Almost surely, 219282010000 is an apocalyptic number.

19282010000 is a gapful number since it is divisible by the number (10) 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 19282010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25463967672).

19282010000 is an abundant number, since it is smaller than the sum of its proper divisors (31645925344).

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

19282010000 is a wasteful number, since it uses less digits than its factorization.

19282010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175330 (or 175309 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 19282010000 its reverse (1028291), we get a palindrome (19283038291).

The spelling of 19282010000 in words is "nineteen billion, two hundred eighty-two million, ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 175291 350582 701164 876455 1402328 1752910 1928201 2804656 3505820 3856402 4382275 7011640 7712804 8764550 9641005 14023280 15425608 17529100 19282010 21911375 30851216 35058200 38564020 43822750 48205025 70116400 77128040 87645500 96410050 109556875 154256080 175291000 192820100 219113750 241025125 350582000 385640200 438227500 482050250 771280400 876455000 964100500 1205125625 1752910000 1928201000 2410251250 3856402000 4820502500 9641005000 19282010000