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8345219904 = 263272389989
BaseRepresentation
bin1111100010110100…
…11111001101000000
3210112121000002120200
413301122133031000
5114042334014104
63500031005200
7413542125120
oct76132371500
923477002520
108345219904
1135a272825a
12174a969800
13a2cc14658
1459248cc80
1533c98cb39
hex1f169f340

8345219904 has 168 divisors, whose sum is σ = 28526110080. Its totient is φ = 2280655872.

The previous prime is 8345219903. The next prime is 8345219999. The reversal of 8345219904 is 4099125438.

8345219904 is a `hidden beast` number, since 8 + 3 + 452 + 199 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×83452199042 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8345219904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8345219903) 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 23 ways as a sum of consecutive naturals, for example, 47742 + ... + 137730.

Almost surely, 28345219904 is an apocalyptic number.

8345219904 is a gapful number since it is divisible by the number (84) 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 8345219904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14263055040).

8345219904 is an abundant number, since it is smaller than the sum of its proper divisors (20180890176).

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

8345219904 is a wasteful number, since it uses less digits than its factorization.

8345219904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90037 (or 90024 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 8345219904 is about 91352.1751465174. The cubic root of 8345219904 is about 2028.3641608809.

The spelling of 8345219904 in words is "eight billion, three hundred forty-five million, two hundred nineteen thousand, nine hundred four".