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6054362496 = 27367132331
BaseRepresentation
bin1011010001101111…
…00011110110000000
3120121221100111000000
411220313203312000
544344404044441
62440434000000
7303014142420
oct55067436600
916557314000
106054362496
112627591176
12120b716000
13756420a20
14416120480
152567c52b6
hex168de3d80

6054362496 has 896 divisors, whose sum is σ = 23973949440. Its totient is φ = 1478062080.

The previous prime is 6054362459. The next prime is 6054362533. The reversal of 6054362496 is 6942634506.

6054362496 is a `hidden beast` number, since 6 + 0 + 543 + 62 + 49 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6054362459) and next prime (6054362533).

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 195302001 + ... + 195302031.

It is an arithmetic number, because the mean of its divisors is an integer number (26756640).

Almost surely, 26054362496 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 6054362496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11986974720).

6054362496 is an abundant number, since it is smaller than the sum of its proper divisors (17919586944).

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

6054362496 is a wasteful number, since it uses less digits than its factorization.

6054362496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 6054362496 is about 77809.7840634454. The cubic root of 6054362496 is about 1822.5920575356.

The spelling of 6054362496 in words is "six billion, fifty-four million, three hundred sixty-two thousand, four hundred ninety-six".