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81293674590 = 23256117538447
BaseRepresentation
bin100101110110101111…
…0110000100001011110
321202211111101112220200
41023231132300201132
52312442140041330
6101202405324330
75605350555432
oct1135536604136
9252744345820
1081293674590
1131527183a37
12139091066a6
13788716693b
143d128d09c2
1521abd5ea60
hex12ed7b085e

81293674590 has 96 divisors (see below), whose sum is σ = 214976526336. Its totient is φ = 21308244480.

The previous prime is 81293674559. The next prime is 81293674619. The reversal of 81293674590 is 9547639218.

81293674590 is a `hidden beast` number, since 8 + 12 + 9 + 36 + 7 + 4 + 590 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9619747 + ... + 9628193.

It is an arithmetic number, because the mean of its divisors is an integer number (2239338816).

It is a 2-persistent number, because it is pandigital, and so is 2⋅81293674590 = 162587349180, but 3⋅81293674590 = 243881023770 is not.

Almost surely, 281293674590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81293674590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107488263168).

81293674590 is an abundant number, since it is smaller than the sum of its proper divisors (133682851746).

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

81293674590 is a wasteful number, since it uses less digits than its factorization.

With its successor (81293674591) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (10274).

81293674590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10274 (or 10271 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 81293674590 in words is "eighty-one billion, two hundred ninety-three million, six hundred seventy-four thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1753 1830 2745 3506 5259 5490 8447 8765 10518 15777 16894 17530 25341 26295 31554 42235 50682 52590 76023 78885 84470 106933 126705 152046 157770 213866 253410 320799 380115 515267 534665 641598 760230 962397 1030534 1069330 1545801 1603995 1924794 2576335 3091602 3207990 4637403 4811985 5152670 7729005 9274806 9623970 14807591 15458010 23187015 29615182 44422773 46374030 74037955 88845546 133268319 148075910 222113865 266536638 444227730 666341595 903263051 1332683190 1806526102 2709789153 4516315255 5419578306 8129367459 9032630510 13548945765 16258734918 27097891530 40646837295 81293674590