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4080722063760 = 2432553149971339
BaseRepresentation
bin111011011000011101111…
…111010011000110010000
3112110010001112111102012100
4323120131333103012100
51013324304322020020
612402354032000400
7600552045141636
oct73303577230620
915403045442170
104080722063760
111333696247961
1255aa55690100
13237a6c6c64c4
14101717d57356
1571237a58a90
hex3b61dfd3190

4080722063760 has 240 divisors, whose sum is σ = 13972509720000. Its totient is φ = 1066933410816.

The previous prime is 4080722063741. The next prime is 4080722063801. The reversal of 4080722063760 is 673602270804.

4080722063760 is a `hidden beast` number, since 4 + 0 + 8 + 0 + 7 + 2 + 2 + 0 + 637 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 57166171 + ... + 57237509.

It is an arithmetic number, because the mean of its divisors is an integer number (58218790500).

Almost surely, 24080722063760 is an apocalyptic number.

4080722063760 is a gapful number since it is divisible by the number (40) 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 4080722063760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6986254860000).

4080722063760 is an abundant number, since it is smaller than the sum of its proper divisors (9891787656240).

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

4080722063760 is a wasteful number, since it uses less digits than its factorization.

4080722063760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72910 (or 72901 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 4080722063760 in words is "four trillion, eighty billion, seven hundred twenty-two million, sixty-three thousand, seven hundred sixty".