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8481248007 = 326931333577
BaseRepresentation
bin1111110011000010…
…11001001100000111
3210220001222001001120
413321201121030013
5114332144414012
63521330325023
7420113263401
oct77141311407
923801861046
108481248007
113662497181
121788429773
13a52160b5b
145a657bb71
153498ac58c
hex1f9859307

8481248007 has 16 divisors (see below), whose sum is σ = 11386971360. Its totient is φ = 5614981632.

The previous prime is 8481247993. The next prime is 8481248021. The reversal of 8481248007 is 7008421848.

It is an interprime number because it is at equal distance from previous prime (8481247993) and next prime (8481248021).

It is not a de Polignac number, because 8481248007 - 223 = 8472859399 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8481248007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8481258007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235803 + ... + 269379.

It is an arithmetic number, because the mean of its divisors is an integer number (711685710).

Almost surely, 28481248007 is an apocalyptic number.

8481248007 is a deficient number, since it is larger than the sum of its proper divisors (2905723353).

8481248007 is a wasteful number, since it uses less digits than its factorization.

8481248007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34162.

The product of its (nonzero) digits is 114688, while the sum is 42.

The square root of 8481248007 is about 92093.6914614677. The cubic root of 8481248007 is about 2039.3256779829.

The spelling of 8481248007 in words is "eight billion, four hundred eighty-one million, two hundred forty-eight thousand, seven".

Divisors: 1 3 269 313 807 939 33577 84197 100731 252591 9032213 10509601 27096639 31528803 2827082669 8481248007