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1315663155642 = 2311377361911923
BaseRepresentation
bin10011001001010011101…
…000101001000110111010
311122202221211100012102210
4103021103220221012322
5133023434231440032
62444223551235550
7164024234206233
oct23112350510672
94582854305383
101315663155642
11467a73608920
12192b98b18bb6
13970b3152484
144796d8b608a
15243540802cc
hex13253a291ba

1315663155642 has 128 divisors (see below), whose sum is σ = 2993584112640. Its totient is φ = 381946544640.

The previous prime is 1315663155641. The next prime is 1315663155649. The reversal of 1315663155642 is 2465513665131.

It is a super-2 number, since 2×13156631556422 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1315663155591 and 1315663155600.

It is not an unprimeable number, because it can be changed into a prime (1315663155641) 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 63 ways as a sum of consecutive naturals, for example, 110340693 + ... + 110352615.

It is an arithmetic number, because the mean of its divisors is an integer number (23387375880).

Almost surely, 21315663155642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1315663155642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496792056320).

1315663155642 is an abundant number, since it is smaller than the sum of its proper divisors (1677920956998).

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

1315663155642 is a wasteful number, since it uses less digits than its factorization.

1315663155642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12668.

The product of its digits is 1944000, while the sum is 48.

The spelling of 1315663155642 in words is "one trillion, three hundred fifteen billion, six hundred sixty-three million, one hundred fifty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 11 22 33 37 66 73 74 111 146 219 222 407 438 619 803 814 1221 1238 1606 1857 2409 2442 2701 3714 4818 5402 6809 8103 11923 13618 16206 20427 22903 23846 29711 35769 40854 45187 45806 59422 68709 71538 89133 90374 131153 135561 137418 178266 251933 262306 271122 393459 441151 497057 503866 755799 786918 870379 882302 994114 1323453 1491171 1511598 1671919 1740758 2611137 2646906 2982342 3343838 4852661 5015757 5222274 7380337 9574169 9705322 10031514 14557983 14760674 18391109 19148338 22141011 28722507 29115966 32204023 36782218 44282022 55173327 57445014 64408046 81183707 96612069 110346654 162367414 193224138 243551121 273072469 354244253 487102242 538764601 546144938 708488506 819217407 1062732759 1077529202 1616293803 1638434814 2125465518 3003797159 3232587606 5926410611 6007594318 9011391477 11852821222 17779231833 18022782954 19934290237 35558463666 39868580474 59802870711 119605741422 219277192607 438554385214 657831577821 1315663155642