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4025732765472 = 25361137424007
BaseRepresentation
bin111010100101010000010…
…111110001011100100000
3112020212010020102122000000
4322211100113301130200
51011424200041443342
612321221320300000
7563564260623015
oct72452027613440
915225106378000
104025732765472
1113123382171a0
12550269911600
132328180a3c92
14dcbbcb4d70c
156eaba17344c
hex3a9505f1720

4025732765472 has 336 divisors, whose sum is σ = 13313725693632. Its totient is φ = 1186945436160.

The previous prime is 4025732765459. The next prime is 4025732765477. The reversal of 4025732765472 is 2745672375204.

4025732765472 is a `hidden beast` number, since 4 + 0 + 2 + 5 + 73 + 27 + 6 + 547 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4025732765477) 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 55 ways as a sum of consecutive naturals, for example, 9282493 + ... + 9706499.

It is an arithmetic number, because the mean of its divisors is an integer number (39624183612).

Almost surely, 24025732765472 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 4025732765472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656862846816).

4025732765472 is an abundant number, since it is smaller than the sum of its proper divisors (9287992928160).

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

4025732765472 is a wasteful number, since it uses less digits than its factorization.

4025732765472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424083 (or 424060 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 54.

The spelling of 4025732765472 in words is "four trillion, twenty-five billion, seven hundred thirty-two million, seven hundred sixty-five thousand, four hundred seventy-two".