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3350048283648 = 21032111737107491
BaseRepresentation
bin110000101111111110011…
…100000001110000000000
3102212021001121212112112100
4300233332130001300000
5414341344330034043
611042554013030400
7464014214401023
oct60577634016000
912767047775470
103350048283648
111081824a14270
12461318485400
131b3ba6405621
14b8200d371ba
155c220b33cd3
hex30bfe701c00

3350048283648 has 1056 divisors, whose sum is σ = 11606129203968. Its totient is φ = 919063756800.

The previous prime is 3350048283641. The next prime is 3350048283697. The reversal of 3350048283648 is 8463828400533.

3350048283648 is a `hidden beast` number, since 3 + 3 + 500 + 48 + 28 + 36 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×33500482836482 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3350048283594 and 3350048283603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3350048283641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6822908683 + ... + 6822909173.

Almost surely, 23350048283648 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 3350048283648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803064601984).

3350048283648 is an abundant number, since it is smaller than the sum of its proper divisors (8256080920320).

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

3350048283648 is a wasteful number, since it uses less digits than its factorization.

3350048283648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 3350048283648 in words is "three trillion, three hundred fifty billion, forty-eight million, two hundred eighty-three thousand, six hundred forty-eight".