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552430856448 = 28323141712657
BaseRepresentation
bin10000000100111110111…
…00011110100100000000
31221210220212010012000200
420002133130132210000
533022334244401243
61101441102245200
754624515542212
oct10023734364400
91853825105020
10552430856448
111a33148a8a19
128b093b86800
134012b6bb1a3
141ca487265b2
15e583ae6ad3
hex809f71e900

552430856448 has 432 divisors, whose sum is σ = 1708641672192. Its totient is φ = 171343872000.

The previous prime is 552430856431. The next prime is 552430856473. The reversal of 552430856448 is 844658034255.

552430856448 is a `hidden beast` number, since 5 + 5 + 2 + 4 + 30 + 8 + 564 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 552430856394 and 552430856403.

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, 207913936 + ... + 207916592.

It is an arithmetic number, because the mean of its divisors is an integer number (3955189056).

Almost surely, 2552430856448 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 552430856448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854320836096).

552430856448 is an abundant number, since it is smaller than the sum of its proper divisors (1156210815744).

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

552430856448 is a wasteful number, since it uses less digits than its factorization.

552430856448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 54.

The spelling of 552430856448 in words is "five hundred fifty-two billion, four hundred thirty million, eight hundred fifty-six thousand, four hundred forty-eight".