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3485190753408 = 273713131761347
BaseRepresentation
bin110010101101110101100…
…011101000110010000000
3110100011212221021022111010
4302231311203220302000
5424100132313102113
611225024033120520
7506540163420420
oct62556543506200
913304787238433
103485190753408
11112407435a001
124835533b9140
131c38627cc270
14c098138c480
15609d01921c3
hex32b758e8c80

3485190753408 has 256 divisors, whose sum is σ = 11480884208640. Its totient is φ = 912153415680.

The previous prime is 3485190753347. The next prime is 3485190753409. The reversal of 3485190753408 is 8043570915843.

It is a super-2 number, since 2×34851907534082 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3485190753409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4196991 + ... + 4958337.

It is an arithmetic number, because the mean of its divisors is an integer number (44847203940).

Almost surely, 23485190753408 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 3485190753408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5740442104320).

3485190753408 is an abundant number, since it is smaller than the sum of its proper divisors (7995693455232).

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

3485190753408 is a wasteful number, since it uses less digits than its factorization.

3485190753408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761515 (or 761503 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 3485190753408 in words is "three trillion, four hundred eighty-five billion, one hundred ninety million, seven hundred fifty-three thousand, four hundred eight".