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6045489635328 = 2133211133153349
BaseRepresentation
bin101011111111001001101…
…0000110010000000000000
3210101221110120022110100200
41113332103100302000000
51243022130321312303
620505132023445200
71162525604014533
oct127762320620000
923357416273320
106045489635328
111a209723257a0
128177a62b6800
1334b119837490
1416c8634b6a1a
15a73cc8933a3
hex57f93432000

6045489635328 has 1344 divisors, whose sum is σ = 21640029465600. Its totient is φ = 1601018265600.

The previous prime is 6045489635309. The next prime is 6045489635333. The reversal of 6045489635328 is 8235369845406.

6045489635328 is a `hidden beast` number, since 6 + 0 + 4 + 5 + 4 + 8 + 96 + 3 + 532 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17322319698 + ... + 17322320046.

It is an arithmetic number, because the mean of its divisors is an integer number (16101212400).

Almost surely, 26045489635328 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 6045489635328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10820014732800).

6045489635328 is an abundant number, since it is smaller than the sum of its proper divisors (15594539830272).

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

6045489635328 is a wasteful number, since it uses less digits than its factorization.

6045489635328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 6045489635328 in words is "six trillion, forty-five billion, four hundred eighty-nine million, six hundred thirty-five thousand, three hundred twenty-eight".