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7009803859968 = 2113372131271567
BaseRepresentation
bin110011000000001100011…
…0111100111100000000000
3220211010112021122122222000
41212000120313213200000
51404322034242004333
622524132012144000
71322304321462300
oct146003067474000
926733467578860
107009803859968
112262928596458
12952669168000
133bb0387b06c0
141a33c22dd600
15c251b266713
hex66018de7800

7009803859968 has 1152 divisors, whose sum is σ = 26234501529600. Its totient is φ = 1833011970048.

The previous prime is 7009803859937. The next prime is 7009803859979. The reversal of 7009803859968 is 8699583089007.

7009803859968 is a `hidden beast` number, since 70 + 0 + 98 + 0 + 385 + 9 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×70098038599683 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7009803859896 and 7009803859905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4473390321 + ... + 4473391887.

It is an arithmetic number, because the mean of its divisors is an integer number (22773004800).

Almost surely, 27009803859968 is an apocalyptic number.

7009803859968 is a gapful number since it is divisible by the number (78) 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 7009803859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13117250764800).

7009803859968 is an abundant number, since it is smaller than the sum of its proper divisors (19224697669632).

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

7009803859968 is a wasteful number, since it uses less digits than its factorization.

7009803859968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 7009803859968 in words is "seven trillion, nine billion, eight hundred three million, eight hundred fifty-nine thousand, nine hundred sixty-eight".