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5808208678272 = 27337111321771107
BaseRepresentation
bin101010010000101010000…
…1101110000110110000000
3202120021000001022221002000
41110201110031300312000
51230130202410201042
620204130525224000
71136425553114610
oct124412415606600
922507001287060
105808208678272
11193a27a419790
12799805402000
13331933889100
14161193db6a40
15a11414ce74c
hex54854370d80

5808208678272 has 3072 divisors, whose sum is σ = 25081369804800. Its totient is φ = 1280124518400.

The previous prime is 5808208678247. The next prime is 5808208678309. The reversal of 5808208678272 is 2728768028085.

5808208678272 is a `hidden beast` number, since 580 + 8 + 20 + 8 + 6 + 7 + 8 + 27 + 2 = 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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 54282324043 + ... + 54282324149.

It is an arithmetic number, because the mean of its divisors is an integer number (8164508400).

Almost surely, 25808208678272 is an apocalyptic number.

5808208678272 is a gapful number since it is divisible by the number (52) 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 5808208678272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12540684902400).

5808208678272 is an abundant number, since it is smaller than the sum of its proper divisors (19273161126528).

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

5808208678272 is a wasteful number, since it uses less digits than its factorization.

5808208678272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 5808208678272 in words is "five trillion, eight hundred eight billion, two hundred eight million, six hundred seventy-eight thousand, two hundred seventy-two".