Search a number
-
+
801929343168 = 263317227241499
BaseRepresentation
bin10111010101101101011…
…01101011000011000000
32211122220211112112021000
423222312231223003000
5101114322402440133
61412222400532000
7111636361643142
oct13526655530300
92748824475230
10801929343168
1128a107231888
1210b504621000
135a8108b5255
142ab566aac92
1515cd7899413
hexbab6b6b0c0

801929343168 has 448 divisors, whose sum is σ = 2522646720000. Its totient is φ = 248938168320.

The previous prime is 801929343139. The next prime is 801929343269. The reversal of 801929343168 is 861343929108.

801929343168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1607072583 + ... + 1607073081.

Almost surely, 2801929343168 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 801929343168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261323360000).

801929343168 is an abundant number, since it is smaller than the sum of its proper divisors (1720717376832).

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

801929343168 is a wasteful number, since it uses less digits than its factorization.

801929343168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 801929343168 in words is "eight hundred one billion, nine hundred twenty-nine million, three hundred forty-three thousand, one hundred sixty-eight".