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10643130313515 = 325783753754011
BaseRepresentation
bin1001101011100000110000…
…0000000110101100101011
31101200110210001101020200200
42122320030000012230223
52343334112330013030
634345215255403243
72145640455663510
oct232701400065453
941613701336620
1010643130313515
1134337a9661517
12123a862983523
135c2848547bab
1428b1b75c9307
15136cbb4ccd60
hex9ae0c006b2b

10643130313515 has 96 divisors (see below), whose sum is σ = 21340778973696. Its totient is φ = 4806084602880.

The previous prime is 10643130313499. The next prime is 10643130313577. The reversal of 10643130313515 is 51531303134601.

10643130313515 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 3 + 130 + 3 + 1 + 3 + 515 = 666.

It is not a de Polignac number, because 10643130313515 - 24 = 10643130313499 is a prime.

It is a super-2 number, since 2×106431303135152 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10643130313515.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197027860 + ... + 197081870.

It is an arithmetic number, because the mean of its divisors is an integer number (222299780976).

Almost surely, 210643130313515 is an apocalyptic number.

10643130313515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10643130313515 is an abundant number, since it is smaller than the sum of its proper divisors (10697648660181).

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

10643130313515 is a wasteful number, since it uses less digits than its factorization.

10643130313515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61649 (or 61646 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 10643130313515 in words is "ten trillion, six hundred forty-three billion, one hundred thirty million, three hundred thirteen thousand, five hundred fifteen".

Divisors: 1 3 5 7 9 15 21 35 45 63 83 105 249 315 415 581 747 1245 1743 2905 3735 5229 7537 8715 22611 26145 37685 52759 54011 67833 113055 158277 162033 263795 270055 339165 378077 474831 486099 625571 791385 810165 1134231 1876713 1890385 2374155 2430495 3127855 3402693 4378997 4482913 5630139 5671155 9383565 13136991 13448739 17013465 21894985 22414565 28150695 31380391 39410973 40346217 65684955 67243695 94141173 156901955 197054865 201731085 282423519 407080907 470705865 1221242721 1412117595 2035404535 2849566349 3663728163 6106213605 8548699047 14247831745 18318640815 25646097141 33787715281 42743495235 101363145843 128230485705 168938576405 236514006967 304089437529 506815729215 709542020901 1182570034835 1520447187645 2128626062703 3547710104505 10643130313515