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2145520016640 = 28365711132297
BaseRepresentation
bin11111001110001010111…
…101010101110100000000
321121002221222102122000000
4133032022331111310000
5240123011111013030
64321345512000000
7311002662144240
oct37161275256400
97532858378000
102145520016640
11757a01130150
122a7996390000
13127424927bb0
1475bb5265b20
153ac23624860
hex1f38af55d00

2145520016640 has 2016 divisors, whose sum is σ = 10350029926656. Its totient is φ = 411349155840.

The previous prime is 2145520016639. The next prime is 2145520016659. The reversal of 2145520016640 is 466100255412.

2145520016640 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 5 + 2 + 0 + 0 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×21455200166402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2145520016595 and 2145520016604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 934051972 + ... + 934054268.

It is an arithmetic number, because the mean of its divisors is an integer number (5133943416).

Almost surely, 22145520016640 is an apocalyptic number.

2145520016640 is a gapful number since it is divisible by the number (20) 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 2145520016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5175014963328).

2145520016640 is an abundant number, since it is smaller than the sum of its proper divisors (8204509910016).

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

2145520016640 is a wasteful number, since it uses less digits than its factorization.

2145520016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 2145520016640 in words is "two trillion, one hundred forty-five billion, five hundred twenty million, sixteen thousand, six hundred forty".