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1038899049168 = 243173764316369
BaseRepresentation
bin11110001111000110011…
…01010111001011010000
310200022120122211212100210
433013203031113023100
5114010131124033133
62113132540044120
7135025613133441
oct17074315271320
93608518755323
101038899049168
1137065a47a312
12149419233640
1376c772266b6
14383d67092c8
151c05677a763
hexf1e33572d0

1038899049168 has 80 divisors (see below), whose sum is σ = 2699854073280. Its totient is φ = 344231872512.

The previous prime is 1038899049161. The next prime is 1038899049169. The reversal of 1038899049168 is 8619409988301.

It is a super-3 number, since 3×10388990491683 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1038899049099 and 1038899049108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038899049161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63459288 + ... + 63475656.

It is an arithmetic number, because the mean of its divisors is an integer number (33748175916).

Almost surely, 21038899049168 is an apocalyptic number.

It is an amenable number.

1038899049168 is an abundant number, since it is smaller than the sum of its proper divisors (1660955024112).

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

1038899049168 is a wasteful number, since it uses less digits than its factorization.

1038899049168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24196 (or 24190 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 66.

The spelling of 1038899049168 in words is "one trillion, thirty-eight billion, eight hundred ninety-nine million, forty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 173 346 519 692 1038 1384 2076 2768 4152 7643 8304 15286 16369 22929 30572 32738 45858 49107 61144 65476 91716 98214 122288 130952 183432 196428 261904 366864 392856 785712 1322239 2644478 2831837 3966717 5288956 5663674 7933434 8495511 10577912 11327348 15866868 16991022 21155824 22654696 31733736 33982044 45309392 63467472 67964088 125108267 135928176 250216534 375324801 500433068 750649602 1000866136 1501299204 2001732272 3002598408 6005196816 21643730191 43287460382 64931190573 86574920764 129862381146 173149841528 259724762292 346299683056 519449524584 1038899049168