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81348147414 = 232172557103967
BaseRepresentation
bin100101111000010111…
…0100011100011010110
321202222021220001120200
41023300232203203112
52313100111204124
6101212033041330
75606611562352
oct1136056434326
9252867801520
1081348147414
11315549aa1a6
12139233b6246
137895529b91
143d19c30462
1521b1a1ebc9
hex12f0ba38d6

81348147414 has 48 divisors (see below), whose sum is σ = 186697001088. Its totient is φ = 25510761216.

The previous prime is 81348147367. The next prime is 81348147473. The reversal of 81348147414 is 41474184318.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 81348147414.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 730459 + ... + 834425.

It is an arithmetic number, because the mean of its divisors is an integer number (3889520856).

Almost surely, 281348147414 is an apocalyptic number.

81348147414 is an abundant number, since it is smaller than the sum of its proper divisors (105348853674).

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

81348147414 is a wasteful number, since it uses less digits than its factorization.

81348147414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106549 (or 106546 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The spelling of 81348147414 in words is "eighty-one billion, three hundred forty-eight million, one hundred forty-seven thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 2557 5114 7671 15342 23013 43469 46026 86938 103967 130407 207934 260814 311901 391221 623802 782442 935703 1767439 1871406 3534878 5302317 10604634 15906951 31813902 265843619 531687238 797530857 1595061714 2392592571 4519341523 4785185142 9038683046 13558024569 27116049138 40674073707 81348147414