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1190190443904 = 27347211892393
BaseRepresentation
bin10001010100011100111…
…000001110110110000000
311012210002102022000210000
4101110130320032312000
5124000002223201104
62310433235440000
7151663012565100
oct21243470166600
94183072260700
101190190443904
11419836528440
12172800456000
13883081ba047
14418697bb200
1520e5d8ea639
hex1151ce0ed80

1190190443904 has 960 divisors, whose sum is σ = 4547244517200. Its totient is φ = 305539153920.

The previous prime is 1190190443903. The next prime is 1190190444031. The reversal of 1190190443904 is 4093440910911.

1190190443904 is a `hidden beast` number, since 1 + 19 + 0 + 190 + 443 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×11901904439042 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1190190443904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1190190443903) 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 119 ways as a sum of consecutive naturals, for example, 497362132 + ... + 497364524.

Almost surely, 21190190443904 is an apocalyptic number.

1190190443904 is a gapful number since it is divisible by the number (14) 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 1190190443904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273622258600).

1190190443904 is an abundant number, since it is smaller than the sum of its proper divisors (3357054073296).

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

1190190443904 is a wasteful number, since it uses less digits than its factorization.

1190190443904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 1190190443904 in words is "one trillion, one hundred ninety billion, one hundred ninety million, four hundred forty-three thousand, nine hundred four".