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205331988480 = 215352341443
BaseRepresentation
bin1011111100111010111…
…1011000000000000000
3201121222221100202122020
42333032233120000000
511331004442112410
6234154521041440
720556214050633
oct2771657300000
9647887322566
10205331988480
117a098611053
1233965326280
1316493b98948
149d1c2c1c1a
15551b607a70
hex2fcebd8000

205331988480 has 512 divisors, whose sum is σ = 703927687680. Its totient is φ = 50981765120.

The previous prime is 205331988473. The next prime is 205331988487. The reversal of 205331988480 is 84889133502.

It is an interprime number because it is at equal distance from previous prime (205331988473) and next prime (205331988487).

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×2053319884802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205331988487) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 463503139 + ... + 463503581.

It is an arithmetic number, because the mean of its divisors is an integer number (1374858765).

Almost surely, 2205331988480 is an apocalyptic number.

205331988480 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 205331988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351963843840).

205331988480 is an abundant number, since it is smaller than the sum of its proper divisors (498595699200).

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

205331988480 is an equidigital number, since it uses as much as digits as its factorization.

205331988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 205331988480 in words is "two hundred five billion, three hundred thirty-one million, nine hundred eighty-eight thousand, four hundred eighty".