Search a number
-
+
20417898384 = 24321367162791
BaseRepresentation
bin10011000001000000…
…000110011110010000
31221200221212201001200
4103001000012132100
5313303440222014
613214014231200
71321655162352
oct230100063620
957627781050
1020417898384
11872840a294
123b59ab5500
131c05144ba0
14db99c90d2
157e77b7a09
hex4c1006790

20417898384 has 120 divisors (see below), whose sum is σ = 62456127552. Its totient is φ = 6188624640.

The previous prime is 20417898383. The next prime is 20417898407. The reversal of 20417898384 is 48389871402.

It is a happy number.

20417898384 is a `hidden beast` number, since 2 + 0 + 4 + 178 + 98 + 384 = 666.

It is a super-2 number, since 2×204178983842 (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 20417898384.

It is not an unprimeable number, because it can be changed into a prime (20417898383) 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, 44029 + ... + 206819.

Almost surely, 220417898384 is an apocalyptic number.

20417898384 is a gapful number since it is divisible by the number (24) 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 20417898384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31228063776).

20417898384 is an abundant number, since it is smaller than the sum of its proper divisors (42038229168).

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

20417898384 is a wasteful number, since it uses less digits than its factorization.

20417898384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162885 (or 162876 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 20417898384 in words is "twenty billion, four hundred seventeen million, eight hundred ninety-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 67 72 78 104 117 134 144 156 201 208 234 268 312 402 468 536 603 624 804 871 936 1072 1206 1608 1742 1872 2412 2613 3216 3484 4824 5226 6968 7839 9648 10452 13936 15678 20904 31356 41808 62712 125424 162791 325582 488373 651164 976746 1302328 1465119 1953492 2116283 2604656 2930238 3906984 4232566 5860476 6348849 7813968 8465132 10906997 11720952 12697698 16930264 19046547 21813994 23441904 25395396 32720991 33860528 38093094 43627988 50790792 65441982 76186188 87255976 98162973 101581584 130883964 141790961 152372376 174511952 196325946 261767928 283581922 304744752 392651892 425372883 523535856 567163844 785303784 850745766 1134327688 1276118649 1570607568 1701491532 2268655376 2552237298 3402983064 5104474596 6805966128 10208949192 20417898384