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190034208000 = 2833537132417
BaseRepresentation
bin1011000011111011101…
…0111110010100000000
3200011111210212222221000
42300332322332110000
511103142224124000
6223144524332000
716505140054560
oct2607672762400
9604453788830
10190034208000
11736583a116a
12309b60a4000
1314bc674b130
1492aa704da0
154e235c2000
hex2c3eebe500

190034208000 has 1152 divisors, whose sum is σ = 863534730240. Its totient is φ = 40078540800.

The previous prime is 190034207989. The next prime is 190034208047. The reversal of 190034208000 is 802430091.

190034208000 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 (1152).

It is a super-2 number, since 2×1900342080002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78622792 + ... + 78625208.

It is an arithmetic number, because the mean of its divisors is an integer number (749596120).

Almost surely, 2190034208000 is an apocalyptic number.

190034208000 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 190034208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431767365120).

190034208000 is an abundant number, since it is smaller than the sum of its proper divisors (673500522240).

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

190034208000 is a wasteful number, since it uses less digits than its factorization.

190034208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 190034208000 its reverse (802430091), we get a palindrome (190836638091).

The spelling of 190034208000 in words is "one hundred ninety billion, thirty-four million, two hundred eight thousand".