Search a number
-
+
80288276400 = 243252314715307
BaseRepresentation
bin100101011000110001…
…1011101111110110000
321200020102120000212200
41022301203131332300
52303412244321100
6100514532223200
75541422042403
oct1126143357660
9250212500780
1080288276400
1131060703442
121368846ab00
137756a89677
143c59179d3a
15214d963e00
hex12b18ddfb0

80288276400 has 360 divisors, whose sum is σ = 293749008384. Its totient is φ = 20277388800.

The previous prime is 80288276377. The next prime is 80288276407. The reversal of 80288276400 is 467288208.

It is a happy number.

80288276400 is a `hidden beast` number, since 80 + 28 + 82 + 76 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (80288276407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5237547 + ... + 5252853.

Almost surely, 280288276400 is an apocalyptic number.

80288276400 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 80288276400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146874504192).

80288276400 is an abundant number, since it is smaller than the sum of its proper divisors (213460731984).

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

80288276400 is a wasteful number, since it uses less digits than its factorization.

80288276400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15409 (or 15395 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 80288276400 in words is "eighty billion, two hundred eighty-eight million, two hundred seventy-six thousand, four hundred".