Search a number
-
+
800496079552 = 261319294493889
BaseRepresentation
bin10111010011000010100…
…10001101001011000000
32211112012221121012012101
423221201102031023000
5101103403444021202
61411424241040144
7111556016260051
oct13514122151300
92745187535171
10800496079552
112895411936a4
1210b184626054
135a64298b180
142aa5c1ba728
1515c51b33887
hexba6148d2c0

800496079552 has 224 divisors, whose sum is σ = 1867433400000. Its totient is φ = 337105649664.

The previous prime is 800496079547. The next prime is 800496079567. The reversal of 800496079552 is 255970694008.

It is a junction number, because it is equal to n+sod(n) for n = 800496079493 and 800496079502.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205834024 + ... + 205837912.

It is an arithmetic number, because the mean of its divisors is an integer number (8336756250).

Almost surely, 2800496079552 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 800496079552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933716700000).

800496079552 is an abundant number, since it is smaller than the sum of its proper divisors (1066937320448).

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

800496079552 is a wasteful number, since it uses less digits than its factorization.

800496079552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4411 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 55.

The spelling of 800496079552 in words is "eight hundred billion, four hundred ninety-six million, seventy-nine thousand, five hundred fifty-two".