Search a number
-
+
797573105680 = 2451317432633989
BaseRepresentation
bin10111001101100110000…
…11111100100000010000
32211020200020111201211211
423212303003330200100
5101031412203340210
61410222223345504
7111423414353251
oct13466303744020
92736606451754
10797573105680
1128828125310a
1210a6a9752294
135a298235530
142a861d04b28
1515b3020738a
hexb9b30fc810

797573105680 has 320 divisors, whose sum is σ = 2172415956480. Its totient is φ = 269623001088.

The previous prime is 797573105653. The next prime is 797573105683. The reversal of 797573105680 is 86501375797.

It is a super-2 number, since 2×7975731056802 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (797573105683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199941126 + ... + 199945114.

It is an arithmetic number, because the mean of its divisors is an integer number (6788799864).

Almost surely, 2797573105680 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 797573105680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086207978240).

797573105680 is an abundant number, since it is smaller than the sum of its proper divisors (1374842850800).

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

797573105680 is a wasteful number, since it uses less digits than its factorization.

797573105680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4338 (or 4332 counting only the distinct ones).

The product of its (nonzero) digits is 11113200, while the sum is 58.

The spelling of 797573105680 in words is "seven hundred ninety-seven billion, five hundred seventy-three million, one hundred five thousand, six hundred eighty".