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81594348654 = 237131094313181
BaseRepresentation
bin100101111111101100…
…1101111010001101110
321210121110011101012010
41023333121233101232
52314101123124104
6101252310022050
75615661343260
oct1137731572156
9253543141163
1081594348654
11316709788a5
1213991947926
13790453c4a0
143d407dbb30
1521c8453489
hex12ff66f46e

81594348654 has 128 divisors (see below), whose sum is σ = 203224412160. Its totient is φ = 21265804800.

The previous prime is 81594348629. The next prime is 81594348659. The reversal of 81594348654 is 45684349518.

It is a super-2 number, since 2×815943486542 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 81594348594 and 81594348603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81594348659) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25648944 + ... + 25652124.

It is an arithmetic number, because the mean of its divisors is an integer number (1587690720).

Almost surely, 281594348654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81594348654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101612206080).

81594348654 is an abundant number, since it is smaller than the sum of its proper divisors (121630063506).

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

81594348654 is a wasteful number, since it uses less digits than its factorization.

81594348654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3746.

The product of its digits is 16588800, while the sum is 57.

The spelling of 81594348654 in words is "eighty-one billion, five hundred ninety-four million, three hundred forty-eight thousand, six hundred fifty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 109 182 218 273 327 431 546 654 763 862 1293 1417 1526 2289 2586 2834 3017 3181 4251 4578 5603 6034 6362 8502 9051 9543 9919 11206 16809 18102 19086 19838 22267 29757 33618 39221 41353 44534 46979 59514 66801 78442 82706 93958 117663 124059 133602 140937 235326 248118 281874 289471 328853 346729 578942 610727 657706 693458 868413 986559 1040187 1221454 1371011 1736826 1832181 1973118 2080374 2427103 2742022 3664362 4113033 4275089 4507477 4854206 7281309 8226066 8550178 9014954 9597077 12825267 13522431 14562618 17823143 19194154 25650534 27044862 28791231 31552339 35646286 53469429 57582462 63104678 94657017 106938858 124762001 149440199 189314034 249524002 298880398 374286003 448320597 748572006 896641194 1046081393 1942722587 2092162786 3138244179 3885445174 5828167761 6276488358 11656335522 13599058109 27198116218 40797174327 81594348654