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80633021384448 = 2834131669117921
BaseRepresentation
bin10010010101010111010110…
…100110001100011100000000
3101120111102220220021012210000
4102111113112212030130000
541032042411433300243
6443254144301440000
722661354303113251
oct2225272646143400
9346442826235700
1080633021384448
11237682aa522605
129063277870000
1335cb879b15660
1415ca932654b28
1594c6b379a5d3
hex4955d698c700

80633021384448 has 360 divisors, whose sum is σ = 258957894411216. Its totient is φ = 24807289651200.

The previous prime is 80633021384393. The next prime is 80633021384467. The reversal of 80633021384448 is 84448312033608.

80633021384448 is a `hidden beast` number, since 8 + 0 + 63 + 3 + 0 + 2 + 138 + 4 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 80633021384394 and 80633021384403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4499350528 + ... + 4499368448.

Almost surely, 280633021384448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80633021384448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129478947205608).

80633021384448 is an abundant number, since it is smaller than the sum of its proper divisors (178324873026768).

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

80633021384448 is a wasteful number, since it uses less digits than its factorization.

80633021384448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34653 (or 34630 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 80633021384448 in words is "eighty trillion, six hundred thirty-three billion, twenty-one million, three hundred eighty-four thousand, four hundred forty-eight".