Search a number
-
+
80519434240 = 2125721941103
BaseRepresentation
bin100101011111101010…
…1010001000000000000
321200211112112001211011
41022333111101000000
52304400433343430
6100553510530304
75550226620100
oct1127725210000
9250745461734
1080519434240
113116a137783
1213731966994
13779293295b
143c7bb4d200
152163dc522a
hex12bf551000

80519434240 has 624 divisors, whose sum is σ = 244723489920. Its totient is φ = 25268060160.

The previous prime is 80519434231. The next prime is 80519434273. The reversal of 80519434240 is 4243491508.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 80519434193 and 80519434202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 781742029 + ... + 781742131.

It is an arithmetic number, because the mean of its divisors is an integer number (392185080).

Almost surely, 280519434240 is an apocalyptic number.

80519434240 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 80519434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122361744960).

80519434240 is an abundant number, since it is smaller than the sum of its proper divisors (164204055680).

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

80519434240 is a wasteful number, since it uses less digits than its factorization.

80519434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 80519434240 in words is "eighty billion, five hundred nineteen million, four hundred thirty-four thousand, two hundred forty".