Search a number
-
+
80835729408 = 211347671039
BaseRepresentation
bin100101101001000101…
…1110101100000000000
321201122120200112020000
41023102023311200000
52311022421320113
6101045130120000
75561120235330
oct1132213654000
9251576615200
1080835729408
1131311730a45
12137bb880000
137813317765
143cabb650c0
152181a52373
hex12d22f5800

80835729408 has 480 divisors, whose sum is σ = 280331251200. Its totient is φ = 22729310208.

The previous prime is 80835729397. The next prime is 80835729451. The reversal of 80835729408 is 80492753808.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 77800953 + ... + 77801991.

It is an arithmetic number, because the mean of its divisors is an integer number (584023440).

Almost surely, 280835729408 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 80835729408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140165625600).

80835729408 is an abundant number, since it is smaller than the sum of its proper divisors (199495521792).

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

80835729408 is a wasteful number, since it uses less digits than its factorization.

80835729408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 80835729408 in words is "eighty billion, eight hundred thirty-five million, seven hundred twenty-nine thousand, four hundred eight".