Search a number
-
+
801082278089856 = 27347191499387551
BaseRepresentation
bin1011011000100101001000000…
…0100111110001010010000000
310220001101201101022200200120000
42312021102000213301102000
51314444413001142333411
611515432041301320000
7330510166431554010
oct26611220047612200
93801351338620500
10801082278089856
112122820a489a954
1275a1b142106000
13284cb97213c5b9
14101b683683bc40
156292ec5e86956
hex2d894809f1480

801082278089856 has 640 divisors, whose sum is σ = 2869900070400000. Its totient is φ = 216689089075200.

The previous prime is 801082278089843. The next prime is 801082278089857. The reversal of 801082278089856 is 658980872280108.

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 (801082278089857) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2066843281 + ... + 2067230831.

It is an arithmetic number, because the mean of its divisors is an integer number (4484218860000).

Almost surely, 2801082278089856 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 801082278089856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434950035200000).

801082278089856 is an abundant number, since it is smaller than the sum of its proper divisors (2068817792310144).

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

801082278089856 is a wasteful number, since it uses less digits than its factorization.

801082278089856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389102 (or 389081 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 72.

The spelling of 801082278089856 in words is "eight hundred one trillion, eighty-two billion, two hundred seventy-eight million, eighty-nine thousand, eight hundred fifty-six".