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7799940000 = 253254172549
BaseRepresentation
bin1110100001110100…
…11010001110100000
3202010120222000011200
413100322122032200
5111433241040000
63325551441200
7364201252566
oct72072321640
922116860150
107799940000
113342954406
121618226200
13973c67718
1453dcaba36
15309b7d500
hex1d0e9a3a0

7799940000 has 360 divisors, whose sum is σ = 29359430100. Its totient is φ = 1956864000.

The previous prime is 7799939941. The next prime is 7799940011. The reversal of 7799940000 is 499977.

It can be written as a sum of positive squares in 10 ways, for example, as 107246736 + 7692693264 = 10356^2 + 87708^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 3058726 + ... + 3061274.

Almost surely, 27799940000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7799940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14679715050).

7799940000 is an abundant number, since it is smaller than the sum of its proper divisors (21559490100).

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

7799940000 is a wasteful number, since it uses less digits than its factorization.

7799940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 7799940000 is about 88317.2689795150. The cubic root of 7799940000 is about 1983.1873975588.

The spelling of 7799940000 in words is "seven billion, seven hundred ninety-nine million, nine hundred forty thousand".