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8372045088 = 2533111971653
BaseRepresentation
bin1111100110000001…
…10100010100100000
3210121110110221211000
413303000310110200
5114121220420323
63502425552000
7414316131501
oct76300642440
923543427730
108372045088
11360688a430
121757945600
13a35647544
14595c72ba8
1533eedae43
hex1f3034520

8372045088 has 384 divisors, whose sum is σ = 28478822400. Its totient is φ = 2365977600.

The previous prime is 8372045083. The next prime is 8372045111. The reversal of 8372045088 is 8805402738.

It is a super-2 number, since 2×83720450882 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8372045081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12820570 + ... + 12821222.

It is an arithmetic number, because the mean of its divisors is an integer number (74163600).

Almost surely, 28372045088 is an apocalyptic number.

8372045088 is a gapful number since it is divisible by the number (88) 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 8372045088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14239411200).

8372045088 is an abundant number, since it is smaller than the sum of its proper divisors (20106777312).

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

8372045088 is a wasteful number, since it uses less digits than its factorization.

8372045088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 8372045088 is about 91498.8802554436. The cubic root of 8372045088 is about 2030.5351859646.

The spelling of 8372045088 in words is "eight billion, three hundred seventy-two million, forty-five thousand, eighty-eight".