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797017112640 = 2634572312653
BaseRepresentation
bin10111001100100011110…
…11000000000001000000
32211012020111022100210000
423212101323000001000
5101024242340101030
61410051122440000
7111403553451300
oct13462173000100
92735214270700
10797017112640
11288016422331
1210a573503000
135a209ca7278
142a80c135600
1515aeb4cd860
hexb991ec0040

797017112640 has 1260 divisors, whose sum is σ = 3413046412908. Its totient is φ = 176028733440.

The previous prime is 797017112621. The next prime is 797017112651. The reversal of 797017112640 is 46211710797.

It can be written as a sum of positive squares in 2 ways, for example, as 234589110336 + 562428002304 = 484344^2 + 749952^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

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 179 ways as a sum of consecutive naturals, for example, 1220546554 + ... + 1220547206.

Almost surely, 2797017112640 is an apocalyptic number.

797017112640 is a gapful number since it is divisible by the number (70) 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 797017112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706523206454).

797017112640 is an abundant number, since it is smaller than the sum of its proper divisors (2616029300268).

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

797017112640 is a wasteful number, since it uses less digits than its factorization.

797017112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 797017112640 in words is "seven hundred ninety-seven billion, seventeen million, one hundred twelve thousand, six hundred forty".