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1351062146336 = 25726114125357
BaseRepresentation
bin10011101010010001100…
…101000100110100100000
311210011022211210020201012
4103222101211010310200
5134113433402140321
62512400330400052
7166416402521600
oct23522145046440
94704284706635
101351062146336
11480a893a5531
12199a17b90028
139a534c23206
144956ada2c00
1525226b7505b
hex13a91944d20

1351062146336 has 72 divisors (see below), whose sum is σ = 3144897955836. Its totient is φ = 569534353920.

The previous prime is 1351062146303. The next prime is 1351062146363. The reversal of 1351062146336 is 6336412601531.

It can be written as a sum of positive squares in 2 ways, for example, as 1306549585936 + 44512560400 = 1143044^2 + 210980^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1351062146293 and 1351062146302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6967031 + ... + 7158326.

Almost surely, 21351062146336 is an apocalyptic number.

1351062146336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1351062146336 is an abundant number, since it is smaller than the sum of its proper divisors (1793835809500).

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

1351062146336 is a wasteful number, since it uses less digits than its factorization.

1351062146336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14125442 (or 14125427 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

Adding to 1351062146336 its reverse (6336412601531), we get a palindrome (7687474747867).

The spelling of 1351062146336 in words is "one trillion, three hundred fifty-one billion, sixty-two million, one hundred forty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 98 112 122 196 224 244 392 427 488 784 854 976 1568 1708 1952 2989 3416 5978 6832 11956 13664 23912 47824 95648 14125357 28250714 56501428 98877499 113002856 197754998 226005712 395509996 452011424 692142493 791019992 861646777 1384284986 1582039984 1723293554 2768569972 3164079968 3446587108 5537139944 6031527439 6893174216 11074279888 12063054878 13786348432 22148559776 24126109756 27572696864 42220692073 48252219512 84441384146 96504439024 168882768292 193008878048 337765536584 675531073168 1351062146336