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103553068608 = 263211313714249
BaseRepresentation
bin110000001110000111…
…1100110111001000000
3100220021210100221002100
41200130033212321000
53144034041143413
6115323245350400
710324066363053
oct1403417467100
9326253327070
10103553068608
113aa0a00a140
121809b868400
1399c396a0c2
145024cb4a9a
152a6112aa73
hex181c3e6e40

103553068608 has 336 divisors, whose sum is σ = 343302336000. Its totient is φ = 29544652800.

The previous prime is 103553068589. The next prime is 103553068681. The reversal of 103553068608 is 806860355301.

103553068608 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 5 + 30 + 6 + 8 + 608 = 666.

It is a super-3 number, since 3×1035530686083 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7260268 + ... + 7274516.

Almost surely, 2103553068608 is an apocalyptic number.

103553068608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103553068608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171651168000).

103553068608 is an abundant number, since it is smaller than the sum of its proper divisors (239749267392).

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

103553068608 is a wasteful number, since it uses less digits than its factorization.

103553068608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14346 (or 14333 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 103553068608 in words is "one hundred three billion, five hundred fifty-three million, sixty-eight thousand, six hundred eight".