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10468391049288 = 23323145710262887
BaseRepresentation
bin1001100001010101110010…
…1110101101100001001000
31101001202202011121220020200
42120111130232231201020
52333003231102034123
634133040142452200
72130213326515464
oct230253456554110
941052664556220
1010468391049288
11337668a922a57
121210a16b94060
135ac21b793363
1428295c3634a4
15132490a81143
hex9855cbad848

10468391049288 has 96 divisors (see below), whose sum is σ = 29330512872960. Its totient is φ = 3369510731520.

The previous prime is 10468391049287. The next prime is 10468391049307. The reversal of 10468391049288 is 88294019386401.

10468391049288 is a `hidden beast` number, since 1 + 0 + 4 + 68 + 3 + 9 + 1 + 0 + 492 + 88 = 666.

It is a super-2 number, since 2×104683910492882 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10468391049287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4111420 + ... + 6151467.

It is an arithmetic number, because the mean of its divisors is an integer number (305526175760).

Almost surely, 210468391049288 is an apocalyptic number.

10468391049288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10468391049288 is an abundant number, since it is smaller than the sum of its proper divisors (18862121823672).

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

10468391049288 is a wasteful number, since it uses less digits than its factorization.

10468391049288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10263387 (or 10263380 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 10468391049288 in words is "ten trillion, four hundred sixty-eight billion, three hundred ninety-one million, forty-nine thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 457 558 744 914 1116 1371 1828 2232 2742 3656 4113 5484 8226 10968 14167 16452 28334 32904 42501 56668 85002 113336 127503 170004 255006 340008 510012 1020024 10262887 20525774 30788661 41051548 61577322 82103096 92365983 123154644 184731966 246309288 318149497 369463932 636298994 738927864 954448491 1272597988 1908896982 2545195976 2863345473 3817793964 4690139359 5726690946 7635587928 9380278718 11453381892 14070418077 18760557436 22906763784 28140836154 37521114872 42211254231 56281672308 84422508462 112563344616 145394320129 168845016924 290788640258 337690033848 436182960387 581577280516 872365920774 1163154561032 1308548881161 1744731841548 2617097762322 3489463683096 5234195524644 10468391049288