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4055452545504 = 2531910935835693
BaseRepresentation
bin111011000000111011110…
…011101111000111100000
3112100200211110102212211210
4323000323303233013200
51012421031322424004
612343014342310120
7565665615604023
oct73007363570740
915320743385753
104055452545504
1113239a9266878
12555b82a28340
132355733a5539
141003dbc931ba
1570759399089
hex3b03bcef1e0

4055452545504 has 192 divisors, whose sum is σ = 11313804902400. Its totient is φ = 1268342986752.

The previous prime is 4055452545503. The next prime is 4055452545509.

4055452545504 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40554525455042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4055452545503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 712354882 + ... + 712360574.

It is an arithmetic number, because the mean of its divisors is an integer number (58926067200).

Almost surely, 24055452545504 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 4055452545504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5656902451200).

4055452545504 is an abundant number, since it is smaller than the sum of its proper divisors (7258352356896).

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

4055452545504 is a wasteful number, since it uses less digits than its factorization.

4055452545504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9417 (or 9409 counting only the distinct ones).

The product of its (nonzero) digits is 8000000, while the sum is 48.

The spelling of 4055452545504 in words is "four trillion, fifty-five billion, four hundred fifty-two million, five hundred forty-five thousand, five hundred four".