Search a number
-
+
80404695360 = 2635511236167
BaseRepresentation
bin100101011100001111…
…1100100100101000000
321200112112121201200000
41022320133210211000
52304132100222420
6100534251400000
75544334430313
oct1127037444500
9250475551600
1080404695360
1131110399760
12136bb453000
137774c2b622
143c6a80297a
152158cad690
hex12b87e4940

80404695360 has 1344 divisors, whose sum is σ = 336782444544. Its totient is φ = 18065203200.

The previous prime is 80404695341. The next prime is 80404695379. The reversal of 80404695360 is 6359640408.

80404695360 is a `hidden beast` number, since 80 + 4 + 0 + 469 + 53 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (80404695341) and next prime (80404695379).

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 191 ways as a sum of consecutive naturals, for example, 1200070047 + ... + 1200070113.

It is an arithmetic number, because the mean of its divisors is an integer number (250582176).

Almost surely, 280404695360 is an apocalyptic number.

80404695360 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 80404695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168391222272).

80404695360 is an abundant number, since it is smaller than the sum of its proper divisors (256377749184).

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

80404695360 is a wasteful number, since it uses less digits than its factorization.

80404695360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 80404695360 in words is "eighty billion, four hundred four million, six hundred ninety-five thousand, three hundred sixty".