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6088442340096 = 2835236476577
BaseRepresentation
bin101100010011001001101…
…1100010110001100000000
3210120001100000101221100000
41120212103130112030000
51244223112214340341
620540554121200000
71165606164000204
oct130462334261400
923501300357300
106088442340096
111a38103a80606
12823b93030000
133521a355200c
14170979c98b04
15a85936ca8b6
hex58993716300

6088442340096 has 432 divisors, whose sum is σ = 19028405620224. Its totient is φ = 1937947410432.

The previous prime is 6088442340089. The next prime is 6088442340121. The reversal of 6088442340096 is 6900432448806.

6088442340096 is a `hidden beast` number, since 6 + 0 + 88 + 442 + 34 + 0 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 925713960 + ... + 925720536.

It is an arithmetic number, because the mean of its divisors is an integer number (44047235232).

Almost surely, 26088442340096 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 6088442340096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9514202810112).

6088442340096 is an abundant number, since it is smaller than the sum of its proper divisors (12939963280128).

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

6088442340096 is an equidigital number, since it uses as much as digits as its factorization.

6088442340096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7278 (or 7252 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 6088442340096 in words is "six trillion, eighty-eight billion, four hundred forty-two million, three hundred forty thousand, ninety-six".