Search a number
-
+
798809901112080 = 243351113191271497193
BaseRepresentation
bin1011010110100000110110110…
…0011001100001101100010000
310212202100110222110111201201000
42311220031230121201230100
51314200200134141041310
611510532111424342000
7330154053006132624
oct26550155431415420
93782313873451630
10798809901112080
11211586416279260
1275712863774900
13283955b18569c0
1410138869709184
156253d2a8e94c0
hex2d6836c661b10

798809901112080 has 2560 divisors, whose sum is σ = 3452899000320000. Its totient is φ = 166862280130560.

The previous prime is 798809901112057. The next prime is 798809901112127. The reversal of 798809901112080 is 80211109908897.

It is a super-2 number, since 2×7988099011120802 (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 798809901111999 and 798809901112017.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 111053784964 + ... + 111053792156.

It is an arithmetic number, because the mean of its divisors is an integer number (1348788672000).

Almost surely, 2798809901112080 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 798809901112080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726449500160000).

798809901112080 is an abundant number, since it is smaller than the sum of its proper divisors (2654089099207920).

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

798809901112080 is a wasteful number, since it uses less digits than its factorization.

798809901112080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7534 (or 7522 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 63.

The spelling of 798809901112080 in words is "seven hundred ninety-eight trillion, eight hundred nine billion, nine hundred one million, one hundred twelve thousand, eighty".