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61424740136106 = 23247325332231767
BaseRepresentation
bin11011111011101100011111…
…10100001111010010101010
322001111010222202022110000100
431331312033310033102222
531022340331433323411
6334350045220050230
715636535215323244
oct1575661764172252
9261433882273010
1061424740136106
11186320a4515876
126a80639233976
132837435c04549
141124d8a9a3094
15717be9ba3456
hex37dd8fd0f4aa

61424740136106 has 48 divisors (see below), whose sum is σ = 135922812689664. Its totient is φ = 20038651977312.

The previous prime is 61424740136101. The next prime is 61424740136141. The reversal of 61424740136106 is 60163104742416.

61424740136106 is a `hidden beast` number, since 6 + 1 + 4 + 24 + 7 + 4 + 0 + 1 + 3 + 610 + 6 = 666.

It is a super-3 number, since 3×614247401361063 (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (61424740136101) 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, 26407035 + ... + 28638801.

It is an arithmetic number, because the mean of its divisors is an integer number (2831725264368).

Almost surely, 261424740136106 is an apocalyptic number.

61424740136106 is an abundant number, since it is smaller than the sum of its proper divisors (74498072553558).

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

61424740136106 is a wasteful number, since it uses less digits than its factorization.

61424740136106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264355 (or 2264352 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 61424740136106 in words is "sixty-one trillion, four hundred twenty-four billion, seven hundred forty million, one hundred thirty-six thousand, one hundred six".

Divisors: 1 2 3 6 9 18 47 94 141 282 423 846 32533 65066 97599 195198 292797 585594 1529051 2231767 3058102 4463534 4587153 6695301 9174306 13390602 13761459 20085903 27522918 40171806 104893049 209786098 314679147 629358294 944037441 1888074882 72606075811 145212151622 217818227433 435636454866 653454682299 1306909364598 3412485563117 6824971126234 10237456689351 20474913378702 30712370068053 61424740136106