Search a number
-
+
16420534152 = 23311731077963
BaseRepresentation
bin11110100101011110…
…10111011110001000
31120101101010120012120
433102233113132020
5232112124043102
611313221011240
71120626144261
oct172257273610
946341116176
1016420534152
116a66a66390
123223253b20
131718c370c9
14b1ab5d968
156618b36bc
hex3d2bd7788

16420534152 has 128 divisors (see below), whose sum is σ = 45826767360. Its totient is φ = 4861278720.

The previous prime is 16420534139. The next prime is 16420534157. The reversal of 16420534152 is 25143502461.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (16420534157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2058123 + ... + 2066085.

It is an arithmetic number, because the mean of its divisors is an integer number (358021620).

Almost surely, 216420534152 is an apocalyptic number.

16420534152 is a gapful number since it is divisible by the number (12) 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 16420534152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22913383680).

16420534152 is an abundant number, since it is smaller than the sum of its proper divisors (29406233208).

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

16420534152 is a wasteful number, since it uses less digits than its factorization.

16420534152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8163 (or 8159 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

It can be divided in two parts, 1642053 and 4152, that added together give a triangular number (1646205 = T1814).

The spelling of 16420534152 in words is "sixteen billion, four hundred twenty million, five hundred thirty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 107 132 146 214 219 264 292 321 428 438 584 642 803 856 876 1177 1284 1606 1752 2354 2409 2568 3212 3531 4708 4818 6424 7062 7811 7963 9416 9636 14124 15622 15926 19272 23433 23889 28248 31244 31852 46866 47778 62488 63704 85921 87593 93732 95556 171842 175186 187464 191112 257763 262779 343684 350372 515526 525558 581299 687368 700744 852041 1031052 1051116 1162598 1704082 1743897 2062104 2102232 2325196 2556123 3408164 3487794 4650392 5112246 6394289 6816328 6975588 9372451 10224492 12788578 13951176 18744902 19182867 20448984 25577156 28117353 37489804 38365734 51154312 56234706 62198993 74979608 76731468 112469412 124397986 153462936 186596979 224938824 248795972 373193958 497591944 684188923 746387916 1368377846 1492775832 2052566769 2736755692 4105133538 5473511384 8210267076 16420534152