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6066332774656 = 28711791312227
BaseRepresentation
bin101100001000110110110…
…0111000011000100000000
3210110221021011100122022221
41120101231213003010000
51243342322142242111
620522500152340424
71164164244536560
oct130215547030400
923427234318287
106066332774656
111a2979877a880
1281b8426a4714
1335008baba70b
1416d87d756da0
15a7bec658371
hex5846d9c3100

6066332774656 has 432 divisors, whose sum is σ = 15473455441920. Its totient is φ = 2305573171200.

The previous prime is 6066332774633. The next prime is 6066332774659. The reversal of 6066332774656 is 6564772336606.

It is a junction number, because it is equal to n+sod(n) for n = 6066332774594 and 6066332774603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6066332774659) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26723932815 + ... + 26723933041.

Almost surely, 26066332774656 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 6066332774656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7736727720960).

6066332774656 is an abundant number, since it is smaller than the sum of its proper divisors (9407122667264).

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

6066332774656 is a wasteful number, since it uses less digits than its factorization.

6066332774656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 61.

The spelling of 6066332774656 in words is "six trillion, sixty-six billion, three hundred thirty-two million, seven hundred seventy-four thousand, six hundred fifty-six".