Search a number
-
+
10798119396 = 22342322512
BaseRepresentation
bin10100000111001111…
…00011100111100100
31000212112120022010000
422003213203213210
5134103304310041
64543253101300
7531405333441
oct120347434744
930775508100
1010798119396
114641290a19
122114327830
13103116237c
1474615c9c8
15432eb2bb6
hex2839e39e4

10798119396 has 135 divisors (see below), whose sum is σ = 29627135923. Its totient is φ = 3429162000.

The previous prime is 10798119377. The next prime is 10798119403. The reversal of 10798119396 is 69391189701.

It is a happy number.

The square root of 10798119396 is 103914.

It is a perfect power (a square), and thus also a powerful number.

10798119396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 43020271 + ... + 43020521.

Almost surely, 210798119396 is an apocalyptic number.

10798119396 is the 103914-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10798119396

10798119396 is an abundant number, since it is smaller than the sum of its proper divisors (18829016527).

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

10798119396 is an equidigital number, since it uses as much as digits as its factorization.

10798119396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

The spelling of 10798119396 in words is "ten billion, seven hundred ninety-eight million, one hundred nineteen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 251 276 324 414 502 529 621 753 828 1004 1058 1242 1506 1587 1863 2116 2259 2484 3012 3174 3726 4518 4761 5773 6348 6777 7452 9036 9522 11546 13554 14283 17319 19044 20331 23092 27108 28566 34638 40662 42849 51957 57132 63001 69276 81324 85698 103914 126002 132779 155871 171396 189003 207828 252004 265558 311742 378006 398337 467613 531116 567009 623484 756012 796674 935226 1134018 1195011 1449023 1593348 1701027 1870452 2268036 2390022 2898046 3402054 3585033 4347069 4780044 5103081 5796092 6804108 7170066 8694138 10206162 10755099 13041207 14340132 17388276 20412324 21510198 26082414 33327529 39123621 43020396 52164828 66655058 78247242 99982587 117370863 133310116 156494484 199965174 234741726 299947761 399930348 469483452 599895522 899843283 1199791044 1799686566 2699529849 3599373132 5399059698 10798119396