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6098042880 = 214345919
BaseRepresentation
bin1011010110111100…
…01100000000000000
3120201222112200020000
411223132030000000
544442044333010
62445034120000
7304054336446
oct55336140000
916658480200
106098042880
11264a205966
121222280000
137624a57c7
1441bc50b96
1525a5527c0
hex16b78c000

6098042880 has 300 divisors, whose sum is σ = 21885734640. Its totient is φ = 1624375296.

The previous prime is 6098042879. The next prime is 6098042903. The reversal of 6098042880 is 882408906.

It is a happy number.

6098042880 is a `hidden beast` number, since 60 + 98 + 0 + 428 + 80 = 666.

It is a super-2 number, since 2×60980428802 = 74372253932637388800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6635061 + ... + 6635979.

Almost surely, 26098042880 is an apocalyptic number.

6098042880 is a gapful number since it is divisible by the number (60) 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 6098042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10942867320).

6098042880 is an abundant number, since it is smaller than the sum of its proper divisors (15787691760).

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

6098042880 is an frugal number, since it uses more digits than its factorization.

6098042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 6098042880 is about 78089.9665770194. The cubic root of 6098042880 is about 1826.9647076748.

The spelling of 6098042880 in words is "six billion, ninety-eight million, forty-two thousand, eight hundred eighty".