Search a number
-
+
8982044064 = 253276173039
BaseRepresentation
bin10000101110101111…
…10001110110100000
3212011222022010002200
420113113301312200
5121343400402224
64043140213200
7435404054250
oct102727616640
925158263080
108982044064
11389a147714
1218a809a200
13b01b34396
14612c9d960
153788315c9
hex2175f1da0

8982044064 has 144 divisors (see below), whose sum is σ = 29670600960. Its totient is φ = 2524193280.

The previous prime is 8982044063. The next prime is 8982044069. The reversal of 8982044064 is 4604402898.

8982044064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (8982044063) 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, 86457 + ... + 159495.

It is an arithmetic number, because the mean of its divisors is an integer number (206045840).

Almost surely, 28982044064 is an apocalyptic number.

8982044064 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 8982044064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14835300480).

8982044064 is an abundant number, since it is smaller than the sum of its proper divisors (20688556896).

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

8982044064 is a wasteful number, since it uses less digits than its factorization.

8982044064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73123 (or 73112 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 8982044064 is about 94773.6464635607. The cubic root of 8982044064 is about 2078.6995742180.

The spelling of 8982044064 in words is "eight billion, nine hundred eighty-two million, forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 61 63 72 84 96 112 122 126 144 168 183 224 244 252 288 336 366 427 488 504 549 672 732 854 976 1008 1098 1281 1464 1708 1952 2016 2196 2562 2928 3416 3843 4392 5124 5856 6832 7686 8784 10248 13664 15372 17568 20496 30744 40992 61488 73039 122976 146078 219117 292156 438234 511273 584312 657351 876468 1022546 1168624 1314702 1533819 1752936 2045092 2337248 2629404 3067638 3505872 4090184 4455379 4601457 5258808 6135276 7011744 8180368 8910758 9202914 10517616 12270552 13366137 16360736 17821516 18405828 21035232 24541104 26732274 31187653 35643032 36811656 40098411 49082208 53464548 62375306 71286064 73623312 80196822 93562959 106929096 124750612 142572128 147246624 160393644 187125918 213858192 249501224 280688877 320787288 374251836 427716384 499002448 561377754 641574576 748503672 998004896 1122755508 1283149152 1497007344 2245511016 2994014688 4491022032 8982044064