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81456665418 = 23317343325847
BaseRepresentation
bin100101111011100110…
…0100001001101001010
321210020212002100022000
41023313030201031022
52313310401243133
6101230511011430
75612400142362
oct1136714411512
9253225070260
1081456665418
11316001893a7
1213953809b76
1378b1b6380b
143d2a3db9a2
1521bb308413
hex12f732134a

81456665418 has 64 divisors (see below), whose sum is σ = 191725989120. Its totient is φ = 25546599936.

The previous prime is 81456665393. The next prime is 81456665443.

It is a happy number.

81456665418 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (81456665393) and next prime (81456665443).

It is a super-2 number, since 2×814566654182 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3138571 + ... + 3164417.

It is an arithmetic number, because the mean of its divisors is an integer number (2995718580).

Almost surely, 281456665418 is an apocalyptic number.

81456665418 is an abundant number, since it is smaller than the sum of its proper divisors (110269323702).

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

81456665418 is a wasteful number, since it uses less digits than its factorization.

81456665418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29308 (or 29302 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 81456665418 in words is "eighty-one billion, four hundred fifty-six million, six hundred sixty-five thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 3433 6866 10299 20598 25847 30897 51694 58361 61794 77541 92691 116722 155082 175083 185382 232623 350166 439399 465246 525249 697869 878798 1050498 1318197 1395738 1575747 2636394 3151494 3954591 7909182 11863773 23727546 88732751 177465502 266198253 532396506 798594759 1508456767 1597189518 2395784277 3016913534 4525370301 4791568554 9050740602 13576110903 27152221806 40728332709 81456665418