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4890116112 = 243722390397
BaseRepresentation
bin1001000110111100…
…10100000000010000
3110121210121122012120
410203132110000100
540003332203422
62125124054240
7232116205200
oct44336240020
913553548176
104890116112
11208a385682
12b45834380
135cc16733b
1434565a400
151d949d45c
hex123794010

4890116112 has 120 divisors (see below), whose sum is σ = 15334393536. Its totient is φ = 1336414464.

The previous prime is 4890116083. The next prime is 4890116117. The reversal of 4890116112 is 2116110984.

It is not an unprimeable number, because it can be changed into a prime (4890116117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8898 + ... + 99294.

Almost surely, 24890116112 is an apocalyptic number.

4890116112 is a gapful number since it is divisible by the number (42) 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 4890116112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7667196768).

4890116112 is an abundant number, since it is smaller than the sum of its proper divisors (10444277424).

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

4890116112 is a wasteful number, since it uses less digits than its factorization.

4890116112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90445 (or 90432 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 4890116112 is about 69929.3651622836. The cubic root of 4890116112 is about 1697.3564579087.

The spelling of 4890116112 in words is "four billion, eight hundred ninety million, one hundred sixteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 49 56 69 84 92 98 112 138 147 161 168 184 196 276 294 322 336 368 392 483 552 588 644 784 966 1104 1127 1176 1288 1932 2254 2352 2576 3381 3864 4508 6762 7728 9016 13524 18032 27048 54096 90397 180794 271191 361588 542382 632779 723176 1084764 1265558 1446352 1898337 2079131 2169528 2531116 3796674 4158262 4339056 4429453 5062232 6237393 7593348 8316524 8858906 10124464 12474786 13288359 14553917 15186696 16633048 17717812 24949572 26576718 29107834 30373392 33266096 35435624 43661751 49899144 53153436 58215668 70871248 87323502 99798288 101877419 106306872 116431336 174647004 203754838 212613744 232862672 305632257 349294008 407509676 611264514 698588016 815019352 1222529028 1630038704 2445058056 4890116112