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797331161088 = 218337211219
BaseRepresentation
bin10111001101001001010…
…01000000000000000000
32211020001101020200021000
423212210221000000000
5101030413234123323
61410142221532000
7111414416021400
oct13464451000000
92736041220230
10797331161088
11288167721600
1210a640714000
135a25a083557
142a83bb24800
1515b18d64e43
hexb9a4a40000

797331161088 has 1368 divisors, whose sum is σ = 3179695797600. Its totient is φ = 196199055360.

The previous prime is 797331161059. The next prime is 797331161089. The reversal of 797331161088 is 880161133797.

797331161088 is a `hidden beast` number, since 7 + 9 + 7 + 3 + 3 + 11 + 610 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1368).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (797331161089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41964797943 + ... + 41964797961.

Almost surely, 2797331161088 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 797331161088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589847898800).

797331161088 is an abundant number, since it is smaller than the sum of its proper divisors (2382364636512).

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

797331161088 is an equidigital number, since it uses as much as digits as its factorization.

797331161088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 797331161088 in words is "seven hundred ninety-seven billion, three hundred thirty-one million, one hundred sixty-one thousand, eighty-eight".