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1980200544 = 253726167103
BaseRepresentation
bin111011000000111…
…0111011001100000
312010000002121110220
41312001313121200
513023412404134
6524254323040
7100033266300
oct16601673140
95100077426
101980200544
11926853a83
124731b9480
132573342ca
1414adc3600
15b8ca1149
hex76077660

1980200544 has 288 divisors, whose sum is σ = 6298096896. Its totient is φ = 542868480.

The previous prime is 1980200543. The next prime is 1980200557. The reversal of 1980200544 is 4450020891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1980200543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19225197 + ... + 19225299.

It is an arithmetic number, because the mean of its divisors is an integer number (21868392).

Almost surely, 21980200544 is an apocalyptic number.

1980200544 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 1980200544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149048448).

1980200544 is an abundant number, since it is smaller than the sum of its proper divisors (4317896352).

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

1980200544 is a wasteful number, since it uses less digits than its factorization.

1980200544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1980200544 is about 44499.4443111372. Note that the first 3 decimals coincide. The cubic root of 1980200544 is about 1255.7496289184.

The spelling of 1980200544 in words is "one billion, nine hundred eighty million, two hundred thousand, five hundred forty-four".