Search a number
-
+
9828319842 = 2341123376481
BaseRepresentation
bin10010010011101000…
…00100001001100010
3221100221201101020000
421021310010021202
5130112022213332
64303131000430
7465361224465
oct111164041142
927327641200
109828319842
114193915190
121aa3599116
13c0826a493
146934332dc
153c7c99b7c
hex249d04262

9828319842 has 160 divisors (see below), whose sum is σ = 25750859904. Its totient is φ = 2771366400.

The previous prime is 9828319793. The next prime is 9828319877. The reversal of 9828319842 is 2489138289.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1513242 + ... + 1519722.

Almost surely, 29828319842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9828319842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12875429952).

9828319842 is an abundant number, since it is smaller than the sum of its proper divisors (15922540062).

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

9828319842 is a wasteful number, since it uses less digits than its factorization.

9828319842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6566 (or 6557 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 9828319842 is about 99137.8829812297. The cubic root of 9828319842 is about 2142.0343308294.

The spelling of 9828319842 in words is "nine billion, eight hundred twenty-eight million, three hundred nineteen thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 37 46 54 66 69 74 81 99 111 138 162 198 207 222 253 297 333 407 414 506 594 621 666 759 814 851 891 999 1221 1242 1518 1702 1782 1863 1998 2277 2442 2553 2997 3663 3726 4554 5106 5994 6481 6831 7326 7659 9361 10989 12962 13662 15318 18722 19443 20493 21978 22977 28083 32967 38886 40986 45954 56166 58329 65934 68931 71291 84249 116658 137862 142582 149063 168498 174987 213873 239797 252747 298126 349974 427746 447189 479594 505494 524961 641619 719391 758241 894378 1049922 1283238 1341567 1438782 1516482 1639693 1924857 2158173 2637767 2683134 3279386 3849714 4024701 4316346 4919079 5275534 5515331 5774571 6474519 7913301 8049402 9838158 11030662 11549142 12074103 12949038 14757237 15826602 16545993 19423557 23739903 24148206 29514474 33091986 38847114 44271711 47479806 49637979 60668641 71219709 88543422 99275958 121337282 132815133 142439418 148913937 182005923 213659127 265630266 297827874 364011846 427318254 446741811 546017769 893483622 1092035538 1638053307 3276106614 4914159921 9828319842