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1351113712536 = 233717721365587
BaseRepresentation
bin10011101010010100101…
…001110010001110011000
311210011110102211002020110
4103222110221302032120
5134114040102300121
62512405411524320
7166420600031430
oct23522451621630
94704412732213
101351113712536
11481005515a25
12199a312b96a0
139a542809463
1449573b872c0
152522b45dd76
hex13a94a72398

1351113712536 has 128 divisors (see below), whose sum is σ = 4088031828480. Its totient is φ = 363268786176.

The previous prime is 1351113712489. The next prime is 1351113712537. The reversal of 1351113712536 is 6352173111531.

It is a junction number, because it is equal to n+sod(n) for n = 1351113712494 and 1351113712503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1351113712537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20567535 + ... + 20633121.

It is an arithmetic number, because the mean of its divisors is an integer number (31937748660).

Almost surely, 21351113712536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1351113712536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044015914240).

1351113712536 is an abundant number, since it is smaller than the sum of its proper divisors (2736918115944).

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

1351113712536 is a wasteful number, since it uses less digits than its factorization.

1351113712536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72833 (or 72829 counting only the distinct ones).

The product of its digits is 56700, while the sum is 39.

The spelling of 1351113712536 in words is "one trillion, three hundred fifty-one billion, one hundred thirteen million, seven hundred twelve thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 7213 14426 21639 28852 43278 50491 57704 65587 86556 100982 122621 131174 151473 173112 196761 201964 245242 262348 302946 367863 393522 403928 459109 490484 524696 605892 735726 787044 858347 918218 980968 1114979 1211784 1377327 1471452 1574088 1716694 1836436 2229958 2575041 2754654 2942904 3344937 3433388 3672872 4459916 5150082 5509308 6689874 6866776 7804853 8919832 10300164 11018616 13379748 15609706 20600328 23414559 26759496 31219412 46829118 62438824 93658236 187316472 473079031 946158062 1419237093 1892316124 2838474186 3311553217 3784632248 5676948372 6623106434 8042343527 9934659651 11353896744 13246212868 16084687054 19869319302 24127030581 26492425736 32169374108 39738638604 48254061162 56296404689 64338748216 79477277208 96508122324 112592809378 168889214067 193016244648 225185618756 337778428134 450371237512 675556856268 1351113712536