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69986442240 = 210325111321943
BaseRepresentation
bin100000100101110000…
…1000101110000000000
320200122110211122010100
41001023201011300000
52121313012122430
652052404202400
75025220641441
oct1011341056000
9220573748110
1069986442240
1127754581a10
1211692399400
1367a46ab600
14355ccc72c8
151c49333960
hex104b845c00

69986442240 has 1584 divisors, whose sum is σ = 308551351680. Its totient is φ = 14491975680.

The previous prime is 69986442217. The next prime is 69986442247. The reversal of 69986442240 is 4224468996.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69986442247) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1627591659 + ... + 1627591701.

It is an arithmetic number, because the mean of its divisors is an integer number (194792520).

Almost surely, 269986442240 is an apocalyptic number.

69986442240 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 69986442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154275675840).

69986442240 is an abundant number, since it is smaller than the sum of its proper divisors (238564909440).

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

69986442240 is a wasteful number, since it uses less digits than its factorization.

69986442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 69986442240 in words is "sixty-nine billion, nine hundred eighty-six million, four hundred forty-two thousand, two hundred forty".