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11490194000 = 245315138047
BaseRepresentation
bin10101011001101111…
…00111001001010000
31002122202211022222202
422230313213021100
5142012442202000
65140054422332
7554511015605
oct125467471120
932582738882
1011490194000
114966a078aa
1222880619a8
13111165827c
147b00326ac
15473b1bdd5
hex2acde7250

11490194000 has 80 divisors (see below), whose sum is σ = 27968019456. Its totient is φ = 4565520000.

The previous prime is 11490193999. The next prime is 11490194003. The reversal of 11490194000 is 49109411.

11490194000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11490194003) by changing a digit.

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, 282977 + ... + 321023.

Almost surely, 211490194000 is an apocalyptic number.

11490194000 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 11490194000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13984009728).

11490194000 is an abundant number, since it is smaller than the sum of its proper divisors (16477825456).

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

11490194000 is a wasteful number, since it uses less digits than its factorization.

11490194000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38221 (or 38205 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 11490194000 in words is "eleven billion, four hundred ninety million, one hundred ninety-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 151 200 250 302 400 500 604 755 1000 1208 1510 2000 2416 3020 3775 6040 7550 12080 15100 18875 30200 37750 38047 60400 75500 76094 151000 152188 190235 302000 304376 380470 608752 760940 951175 1521880 1902350 3043760 3804700 4755875 5745097 7609400 9511750 11490194 15218800 19023500 22980388 28725485 38047000 45960776 57450970 76094000 91921552 114901940 143627425 229803880 287254850 459607760 574509700 718137125 1149019400 1436274250 2298038800 2872548500 5745097000 11490194000