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4318050752064 = 263474192312
BaseRepresentation
bin111110110101011111111…
…000011001011001000000
3120021210122101021221110000
4332311133320121121000
51031221331443031224
613103403553240000
7623653215540000
oct76653770313100
916253571257400
104318050752064
111415303095085
12598a4a563000
1325426251740a
1410cdcd920000
15774c81ea0c9
hex3ed5fe19640

4318050752064 has 1575 divisors, whose sum is σ = 16284574834011. Its totient is φ = 1131092605440.

The previous prime is 4318050752027. The next prime is 4318050752069. The reversal of 4318050752064 is 4602570508134.

The square root of 4318050752064 is 2077992.

It is a perfect power (a square), and thus also a powerful number.

4318050752064 is a `hidden beast` number, since 4 + 3 + 1 + 80 + 507 + 5 + 2 + 0 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (4318050752069) 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 224 ways as a sum of consecutive naturals, for example, 139291959729 + ... + 139291959759.

Almost surely, 24318050752064 is an apocalyptic number.

4318050752064 is the 2077992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4318050752064

4318050752064 is an abundant number, since it is smaller than the sum of its proper divisors (11966524081947).

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

4318050752064 is an frugal number, since it uses more digits than its factorization.

4318050752064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 4318050752064 in words is "four trillion, three hundred eighteen billion, fifty million, seven hundred fifty-two thousand, sixty-four".