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2797796263680 = 2833511127167347
BaseRepresentation
bin101000101101101001101…
…001110000011100000000
3100220110121020021012001000
4220231221221300130000
5331314341320414210
65541142335412000
7406063666566615
oct50555151603400
910813536235030
102797796263680
119895a20638a0
12392294384000
13173aa5aa1852
14995b228450c
154cb9cab5ac0
hex28b69a70700

2797796263680 has 1152 divisors, whose sum is σ = 11013158338560. Its totient is φ = 666956021760.

The previous prime is 2797796263679. The next prime is 2797796263711. The reversal of 2797796263680 is 863626977972.

2797796263680 is a `hidden beast` number, since 279 + 7 + 7 + 96 + 263 + 6 + 8 + 0 = 666.

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

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 = 2797796263599 and 2797796263608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8062813267 + ... + 8062813613.

It is an arithmetic number, because the mean of its divisors is an integer number (9560033280).

Almost surely, 22797796263680 is an apocalyptic number.

2797796263680 is a gapful number since it is divisible by the number (20) 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 2797796263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5506579169280).

2797796263680 is an abundant number, since it is smaller than the sum of its proper divisors (8215362074880).

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

2797796263680 is a wasteful number, since it uses less digits than its factorization.

2797796263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 576108288, while the sum is 72.

The spelling of 2797796263680 in words is "two trillion, seven hundred ninety-seven billion, seven hundred ninety-six million, two hundred sixty-three thousand, six hundred eighty".