Search a number
-
+
80315595360 = 253457111341151
BaseRepresentation
bin100101011001100101…
…1101011101001100000
321200022022221222110000
41022303023223221200
52303441243022420
6100521345540000
75542203203460
oct1126313535140
9250268858400
1080315595360
11310750725a0
1213695644600
13775c633230
143c5ca4bba0
15215105d690
hex12b32eba60

80315595360 has 1920 divisors, whose sum is σ = 392436430848. Its totient is φ = 14929920000.

The previous prime is 80315595337. The next prime is 80315595397. The reversal of 80315595360 is 6359551308.

80315595360 is a `hidden beast` number, since 8 + 0 + 31 + 559 + 5 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 531891285 + ... + 531891435.

Almost surely, 280315595360 is an apocalyptic number.

80315595360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80315595360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196218215424).

80315595360 is an abundant number, since it is smaller than the sum of its proper divisors (312120835488).

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

80315595360 is a wasteful number, since it uses less digits than its factorization.

80315595360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 80315595360 in words is "eighty billion, three hundred fifteen million, five hundred ninety-five thousand, three hundred sixty".