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1049671680 = 2113547727
BaseRepresentation
bin111110100100001…
…011100000000000
32201011010211211220
4332210023200000
54122203443210
6252054035040
735004030201
oct7644134000
92634124756
101049671680
1149956a962
12253648a80
1313960c005
149d59b5a8
1562243c70
hex3e90b800

1049671680 has 192 divisors, whose sum is σ = 3434296320. Its totient is φ = 273580032.

The previous prime is 1049671673. The next prime is 1049671717. The reversal of 1049671680 is 861769401.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10496716802 = 2203621271588044800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1443477 + ... + 1444203.

It is an arithmetic number, because the mean of its divisors is an integer number (17886960).

Almost surely, 21049671680 is an apocalyptic number.

1049671680 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 1049671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717148160).

1049671680 is an abundant number, since it is smaller than the sum of its proper divisors (2384624640).

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

1049671680 is an equidigital number, since it uses as much as digits as its factorization.

1049671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1049671680 is about 32398.6370083681. The cubic root of 1049671680 is about 1016.2904082309.

The spelling of 1049671680 in words is "one billion, forty-nine million, six hundred seventy-one thousand, six hundred eighty".