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10555352550 = 23252179131041
BaseRepresentation
bin10011101010010010…
…11110010111100110
31000020121202110121100
421311021132113212
5133104132240200
64503221500530
7522400005411
oct116511362746
930217673540
1010555352550
114527248666
122066b71746
13cc2a83052
14721c06b78
1541ba0bd00
hex27525e5e6

10555352550 has 72 divisors (see below), whose sum is σ = 28517360040. Its totient is φ = 2799014400.

The previous prime is 10555352539. The next prime is 10555352551. The reversal of 10555352550 is 5525355501.

10555352550 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 53 + 52 + 550 = 666.

It is a super-2 number, since 2×105553525502 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10555352551) 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 35 ways as a sum of consecutive naturals, for example, 15030 + ... + 146070.

It is an arithmetic number, because the mean of its divisors is an integer number (396074445).

Almost surely, 210555352550 is an apocalyptic number.

10555352550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10555352550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14258680020).

10555352550 is an abundant number, since it is smaller than the sum of its proper divisors (17962007490).

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

10555352550 is a wasteful number, since it uses less digits than its factorization.

10555352550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131238 (or 131230 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 36.

The spelling of 10555352550 in words is "ten billion, five hundred fifty-five million, three hundred fifty-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 179 225 358 450 537 895 1074 1611 1790 2685 3222 4475 5370 8055 8950 13425 16110 26850 40275 80550 131041 262082 393123 655205 786246 1179369 1310410 1965615 2358738 3276025 3931230 5896845 6552050 9828075 11793690 19656150 23456339 29484225 46912678 58968450 70369017 117281695 140738034 211107051 234563390 351845085 422214102 586408475 703690170 1055535255 1172816950 1759225425 2111070510 3518450850 5277676275 10555352550