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3380508224640 = 27355157138451
BaseRepresentation
bin110001001100010101111…
…111011110110010000000
3102222011200102121212100000
4301030111333132302000
5420341240101142030
611104552315200000
7466143100541511
oct61142577366200
912864612555300
103380508224640
111093735843818
124671b9446000
131b6a1bb68151
14b98904aaa08
155ce04d11860
hex31315fdec80

3380508224640 has 384 divisors, whose sum is σ = 12182856678720. Its totient is φ = 895720550400.

The previous prime is 3380508224477. The next prime is 3380508224651. The reversal of 3380508224640 is 464228050833.

3380508224640 is a `hidden beast` number, since 3 + 3 + 80 + 508 + 2 + 2 + 4 + 64 + 0 = 666.

3380508224640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×33805082246402 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24347415 + ... + 24485865.

Almost surely, 23380508224640 is an apocalyptic number.

3380508224640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3380508224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6091428339360).

3380508224640 is an abundant number, since it is smaller than the sum of its proper divisors (8802348454080).

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

3380508224640 is a wasteful number, since it uses less digits than its factorization.

3380508224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138642 (or 138618 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 3380508224640 in words is "three trillion, three hundred eighty billion, five hundred eight million, two hundred twenty-four thousand, six hundred forty".