Search a number
-
+
80353879200 = 25315527
BaseRepresentation
bin100101011010101110…
…1101110010010100000
321200102000000000000000
41022311131232102200
52304031043113300
6100525234300000
75543146463250
oct1126535562240
9250360000000
1080353879200
1131094740831
12136a6427600
1377675488aa
143c63b75960
1521545c1c00
hex12b576e4a0

80353879200 has 576 divisors, whose sum is σ = 336280976640. Its totient is φ = 18366600960.

The previous prime is 80353879159. The next prime is 80353879201. The reversal of 80353879200 is 297835308.

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 (80353879201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11479125597 + ... + 11479125603.

It is an arithmetic number, because the mean of its divisors is an integer number (583821140).

Almost surely, 280353879200 is an apocalyptic number.

80353879200 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 80353879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168140488320).

80353879200 is an abundant number, since it is smaller than the sum of its proper divisors (255927097440).

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

80353879200 is an frugal number, since it uses more digits than its factorization.

80353879200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 80353879200 in words is "eighty billion, three hundred fifty-three million, eight hundred seventy-nine thousand, two hundred".