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80514950400 = 2833522916067
BaseRepresentation
bin100101011111100010…
…0001010010100000000
321200211020002021011000
41022333010022110000
52304343311403100
6100553230452000
75550143533503
oct1127704122400
9250736067130
1080514950400
1131167654a25
1213730364000
137791a22ab1
143c7b30313a
1521637db900
hex12bf10a500

80514950400 has 432 divisors, whose sum is σ = 305439825600. Its totient is φ = 20728995840.

The previous prime is 80514950393. The next prime is 80514950431. The reversal of 80514950400 is 405941508.

80514950400 is a `hidden beast` number, since 8 + 0 + 5 + 149 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 5003167 + ... + 5019233.

Almost surely, 280514950400 is an apocalyptic number.

80514950400 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 80514950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152719912800).

80514950400 is an abundant number, since it is smaller than the sum of its proper divisors (224924875200).

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

80514950400 is a wasteful number, since it uses less digits than its factorization.

80514950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16131 (or 16106 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 80514950400 in words is "eighty billion, five hundred fourteen million, nine hundred fifty thousand, four hundred".