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41456892056316 = 2231119711027144577
BaseRepresentation
bin10010110110100011011110…
…10100110001001011111100
312102210020111002100201022020
421123101233110301023330
520413212203331300231
6224101011105120140
711506106301150132
oct1133215724611374
9172706432321266
1041456892056316
1112233850872320
124796759329050
131a194a2a81b89
14a3474a8b3752
154bd5c7817396
hex25b46f5312fc

41456892056316 has 96 divisors (see below), whose sum is σ = 106072654609152. Its totient is φ = 12497704611840.

The previous prime is 41456892056309. The next prime is 41456892056323. The reversal of 41456892056316 is 61365029865414.

It is an interprime number because it is at equal distance from previous prime (41456892056309) and next prime (41456892056323).

It is a self number, because there is not a number n which added to its sum of digits gives 41456892056316.

It is a congruent number.

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, 286673820 + ... + 286818396.

It is an arithmetic number, because the mean of its divisors is an integer number (1104923485512).

Almost surely, 241456892056316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41456892056316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53036327304576).

41456892056316 is an abundant number, since it is smaller than the sum of its proper divisors (64615762552836).

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

41456892056316 is a wasteful number, since it uses less digits than its factorization.

41456892056316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155819 (or 155817 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 60.

The spelling of 41456892056316 in words is "forty-one trillion, four hundred fifty-six billion, eight hundred ninety-two million, fifty-six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 197 394 591 788 1182 2167 2364 4334 6501 8668 11027 13002 22054 26004 33081 44108 66162 121297 132324 144577 242594 289154 363891 433731 485188 578308 727782 867462 1455564 1590347 1734924 2172319 3180694 4344638 4771041 6361388 6516957 8689276 9542082 13033914 19084164 23895509 26067828 28481669 47791018 56963338 71686527 85445007 95582036 113926676 143373054 170890014 286746108 313298359 341780028 626596718 939895077 1253193436 1594250579 1879790154 3188501158 3759580308 4782751737 6377002316 9565503474 17536756369 19131006948 35073512738 52610269107 70147025476 105220538214 210441076428 314067364063 628134728126 942202092189 1256269456252 1884404184378 3454741004693 3768808368756 6909482009386 10364223014079 13818964018772 20728446028158 41456892056316