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189349152000 = 283534173659
BaseRepresentation
bin1011000001011000010…
…1101100010100000000
3200002202001211112202120
42300112011230110000
511100241340331000
6222552533244240
716452151144011
oct2602605542400
9602661745676
10189349152000
1173336729488
1230844793680
1314b17841a58
14924373b008
154dd33a26a0
hex2c1616c500

189349152000 has 576 divisors, whose sum is σ = 654079345920. Its totient is φ = 48513024000.

The previous prime is 189349151989. The next prime is 189349152007. The reversal of 189349152000 is 251943981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189349152007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287327671 + ... + 287328329.

It is an arithmetic number, because the mean of its divisors is an integer number (1135554420).

Almost surely, 2189349152000 is an apocalyptic number.

189349152000 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 189349152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327039672960).

189349152000 is an abundant number, since it is smaller than the sum of its proper divisors (464730193920).

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

189349152000 is an equidigital number, since it uses as much as digits as its factorization.

189349152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

It can be divided in two parts, 1893491 and 52000, that added together give a palindrome (1945491).

The spelling of 189349152000 in words is "one hundred eighty-nine billion, three hundred forty-nine million, one hundred fifty-two thousand".