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27414110106042 = 23111921861331823
BaseRepresentation
bin1100011101110110110000…
…10010110111000110111010
310121001202121110122111200220
412032323120102313012322
512043123044141343132
6134145511320240510
75526414130064412
oct616733022670672
9117052543574626
1027414110106042
11880a29351a240
1230a9056010136
13123b1a75cac6a
146aabc85d1642
15328185ab0a2c
hex18eed84b71ba

27414110106042 has 32 divisors (see below), whose sum is σ = 62960635653120. Its totient is φ = 7870079455920.

The previous prime is 27414110106017. The next prime is 27414110106067. The reversal of 27414110106042 is 24060101141472.

It is an interprime number because it is at equal distance from previous prime (27414110106017) and next prime (27414110106067).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 27414110105994 and 27414110106012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10930664658 + ... + 10930667165.

It is an arithmetic number, because the mean of its divisors is an integer number (1967519864160).

Almost surely, 227414110106042 is an apocalyptic number.

27414110106042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

27414110106042 is an abundant number, since it is smaller than the sum of its proper divisors (35546525547078).

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

27414110106042 is a wasteful number, since it uses less digits than its factorization.

27414110106042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21861331858.

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 27414110106042 in words is "twenty-seven trillion, four hundred fourteen billion, one hundred ten million, one hundred six thousand, forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 21861331823 43722663646 65583995469 131167990938 240474650053 415365304637 480949300106 721423950159 830730609274 1246095913911 1442847900318 2492191827822 4569018351007 9138036702014 13707055053021 27414110106042