Search a number
-
+
8054798446080 = 293251964728439
BaseRepresentation
bin111010100110110011101…
…1001100110111000000000
31001112000211202022220001100
41311031213121212320000
52023432211400233310
625044153500534400
71460640262060551
oct165154731467000
931460752286040
108054798446080
112626025809901
12aa10a7851400
13465744813099
141dbbd63a6328
15de7ccbebec0
hex75367666e00

8054798446080 has 480 divisors, whose sum is σ = 29410664025600. Its totient is φ = 2031679881216.

The previous prime is 8054798446073. The next prime is 8054798446127. The reversal of 8054798446080 is 806448974508.

8054798446080 is a `hidden beast` number, since 8 + 0 + 5 + 4 + 7 + 98 + 4 + 460 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8054798445999 and 8054798446017.

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, 283216501 + ... + 283244939.

It is an arithmetic number, because the mean of its divisors is an integer number (61272216720).

Almost surely, 28054798446080 is an apocalyptic number.

8054798446080 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 8054798446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14705332012800).

8054798446080 is an abundant number, since it is smaller than the sum of its proper divisors (21355865579520).

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

8054798446080 is a wasteful number, since it uses less digits than its factorization.

8054798446080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29134 (or 29115 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 8054798446080 in words is "eight trillion, fifty-four billion, seven hundred ninety-eight million, four hundred forty-six thousand, eighty".