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55675057050 = 23352122333721
BaseRepresentation
bin110011110110011111…
…011111001110011010
312022201002102221101000
4303312133133032122
51403010303311200
641324325405430
74010452114404
oct636637371632
9168632387330
1055675057050
1121680133448
12a959569876
135333716752
1429a2315b74
1516acbe3300
hexcf67df39a

55675057050 has 96 divisors (see below), whose sum is σ = 153545708160. Its totient is φ = 14834102400.

The previous prime is 55675056961. The next prime is 55675057057. The reversal of 55675057050 is 5075057655.

55675057050 is a `hidden beast` number, since 5 + 5 + 6 + 75 + 0 + 570 + 5 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 55675056987 and 55675057005.

It is not an unprimeable number, because it can be changed into a prime (55675057057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1634190 + ... + 1667910.

It is an arithmetic number, because the mean of its divisors is an integer number (1599434460).

Almost surely, 255675057050 is an apocalyptic number.

55675057050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55675057050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76772854080).

55675057050 is an abundant number, since it is smaller than the sum of its proper divisors (97870651110).

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

55675057050 is a wasteful number, since it uses less digits than its factorization.

55675057050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34965 (or 34954 counting only the distinct ones).

The product of its (nonzero) digits is 918750, while the sum is 45.

The spelling of 55675057050 in words is "fifty-five billion, six hundred seventy-five million, fifty-seven thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1223 1350 2446 3669 6115 7338 11007 12230 18345 22014 30575 33021 33721 36690 55035 61150 66042 67442 91725 101163 110070 165105 168605 183450 202326 275175 303489 330210 337210 505815 550350 606978 825525 843025 910467 1011630 1517445 1651050 1686050 1820934 2529075 3034890 4552335 5058150 7587225 9104670 15174450 22761675 41240783 45523350 82481566 123722349 206203915 247444698 371167047 412407830 618611745 742334094 1031019575 1113501141 1237223490 1855835235 2062039150 2227002282 3093058725 3711670470 5567505705 6186117450 9279176175 11135011410 18558352350 27837528525 55675057050