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797884421935104 = 2123272210172
BaseRepresentation
bin1011010101101010111111000…
…1100010101001000000000000
310212122002000011020011100102100
42311122233301202221000000
51314040014244003410404
611504543013201550400
7330030150532001400
oct26532576142510000
93778060136140370
10797884421935104
11211259979418709
12755a341a645400
13283292414c021a
1410105b52484800
156239c115e6d39
hex2d5abf18a9000

797884421935104 has 351 divisors, whose sum is σ = 2681126139631017. Its totient is φ = 227956130906112.

The previous prime is 797884421935091. The next prime is 797884421935109. The reversal of 797884421935104 is 401539124488797.

The square root of 797884421935104 is 28246848.

It is a perfect power (a square), and thus also a powerful number.

797884421935104 is a `hidden beast` number, since 7 + 9 + 7 + 8 + 8 + 4 + 421 + 93 + 5 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 683201433600 + 797201220501504 = 826560^2 + 28234752^2 .

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

It is not an unprimeable number, because it can be changed into a prime (797884421935109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37963753204 + ... + 37963774220.

Almost surely, 2797884421935104 is an apocalyptic number.

797884421935104 is the 28246848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 797884421935104

797884421935104 is an abundant number, since it is smaller than the sum of its proper divisors (1883241717695913).

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

797884421935104 is an frugal number, since it uses more digits than its factorization.

797884421935104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42078 (or 21029 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 797884421935104 in words is "seven hundred ninety-seven trillion, eight hundred eighty-four billion, four hundred twenty-one million, nine hundred thirty-five thousand, one hundred four".