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8066295285048 = 23347111317731503
BaseRepresentation
bin111010101100001010010…
…1010100100010100111000
31001120010111222122211020000
41311120110222210110320
52024124233043110143
625053334354033000
71461525213433530
oct165302452442470
931503458584200
108066295285048
11262a995445110
12aa3375b78760
13466857656a90
141dc5a72484c0
15dec521ccbd3
hex75614aa4538

8066295285048 has 640 divisors, whose sum is σ = 32119228753920. Its totient is φ = 1820211056640.

The previous prime is 8066295284969. The next prime is 8066295285079. The reversal of 8066295285048 is 8405825926608.

8066295285048 is a `hidden beast` number, since 8 + 0 + 6 + 62 + 9 + 528 + 5 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10661265 + ... + 11392767.

It is an arithmetic number, because the mean of its divisors is an integer number (50186294928).

Almost surely, 28066295285048 is an apocalyptic number.

8066295285048 is a gapful number since it is divisible by the number (88) 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 8066295285048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16059614376960).

8066295285048 is an abundant number, since it is smaller than the sum of its proper divisors (24052933468872).

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

8066295285048 is a wasteful number, since it uses less digits than its factorization.

8066295285048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731569 (or 731556 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 8066295285048 in words is "eight trillion, sixty-six billion, two hundred ninety-five million, two hundred eighty-five thousand, forty-eight".