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203007841920 = 27335131725359
BaseRepresentation
bin1011110100010000110…
…1011101011010000000
3201101222222001212221000
42331010031131122000
511311230001420140
6233132134332000
720444503120302
oct2750415353200
9641888055830
10203007841920
11791056a8374
1233416aba000
13161b351abb0
149b7b769972
155432566a30
hex2f4435d680

203007841920 has 1536 divisors, whose sum is σ = 852241824000. Its totient is φ = 45362184192.

The previous prime is 203007841901. The next prime is 203007841931. The reversal of 203007841920 is 29148700302.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 3440810851 + ... + 3440810909.

Almost surely, 2203007841920 is an apocalyptic number.

203007841920 is a gapful number since it is divisible by the number (20) 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 203007841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426120912000).

203007841920 is an abundant number, since it is smaller than the sum of its proper divisors (649233982080).

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

203007841920 is a wasteful number, since it uses less digits than its factorization.

203007841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 203007841920 in words is "two hundred three billion, seven million, eight hundred forty-one thousand, nine hundred twenty".