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80054485784784 = 243375103167641
BaseRepresentation
bin10010001100111100100011…
…001100000001100011010000
3101111110010121202110200011000
4102030330203030001203100
540443103041330103114
6442132304552022000
722601513533500000
oct2214744314014320
9344403552420130
1080054485784784
1123564a0a233745
128b8b119391900
13358914b06c364
1415aa92cd70000
1593c60300ee09
hex48cf233018d0

80054485784784 has 960 divisors, whose sum is σ = 272729824174080. Its totient is φ = 22479887646720.

The previous prime is 80054485784731. The next prime is 80054485784807. The reversal of 80054485784784 is 48748758445008.

80054485784784 is a `hidden beast` number, since 8 + 0 + 0 + 5 + 4 + 4 + 8 + 578 + 47 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 124889993104 + ... + 124889993744.

It is an arithmetic number, because the mean of its divisors is an integer number (284093566848).

Almost surely, 280054485784784 is an apocalyptic number.

80054485784784 is a gapful number since it is divisible by the number (84) 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 80054485784784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136364912087040).

80054485784784 is an abundant number, since it is smaller than the sum of its proper divisors (192675338389296).

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

80054485784784 is a wasteful number, since it uses less digits than its factorization.

80054485784784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 1284505600, while the sum is 72.

The spelling of 80054485784784 in words is "eighty trillion, fifty-four billion, four hundred eighty-five million, seven hundred eighty-four thousand, seven hundred eighty-four".