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190920100000 = 255571072549
BaseRepresentation
bin1011000111001110111…
…0011000100010100000
3200020210112211222021211
42301303232120202200
511112001021200000
6223412452155504
716536115034230
oct2616356304240
9606715758254
10190920100000
1173a72467a13
1231002908b94
1315008145196
14935222bcc0
154e762637ba
hex2c73b988a0

190920100000 has 288 divisors, whose sum is σ = 542159049600. Its totient is φ = 64821120000.

The previous prime is 190920099971. The next prime is 190920100031. The reversal of 190920100000 is 1029091.

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 47 ways as a sum of consecutive naturals, for example, 74898726 + ... + 74901274.

It is an arithmetic number, because the mean of its divisors is an integer number (1882496700).

Almost surely, 2190920100000 is an apocalyptic number.

190920100000 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 190920100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271079524800).

190920100000 is an abundant number, since it is smaller than the sum of its proper divisors (351238949600).

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

190920100000 is an equidigital number, since it uses as much as digits as its factorization.

190920100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

Adding to 190920100000 its reverse (1029091), we get a palindrome (190921129091).

The spelling of 190920100000 in words is "one hundred ninety billion, nine hundred twenty million, one hundred thousand".