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10244440632188 = 2276171541156151
BaseRepresentation
bin1001010100010011100000…
…1111101010101101111100
31100021100200200101222000002
42111010320033222231330
52320321103300212223
633442121524053432
72105064534420530
oct225047017525574
940240620358002
1010244440632188
11329a708734a14
121195536534278
1359407b518459
14275b95471bc0
1512b734b61e28
hex951383eab7c

10244440632188 has 96 divisors (see below), whose sum is σ = 21157241849856. Its totient is φ = 4249778400000.

The previous prime is 10244440632143. The next prime is 10244440632211. The reversal of 10244440632188 is 88123604444201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65527913 + ... + 65684063.

It is an arithmetic number, because the mean of its divisors is an integer number (220387935936).

Almost surely, 210244440632188 is an apocalyptic number.

It is an amenable number.

10244440632188 is an abundant number, since it is smaller than the sum of its proper divisors (10912801217668).

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

10244440632188 is a wasteful number, since it uses less digits than its factorization.

10244440632188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156835 (or 156833 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 47.

The spelling of 10244440632188 in words is "ten trillion, two hundred forty-four billion, four hundred forty million, six hundred thirty-two thousand, one hundred eighty-eight".

Divisors: 1 2 4 7 14 28 61 71 122 142 244 284 427 497 541 854 994 1082 1708 1988 2164 3787 4331 7574 8662 15148 17324 30317 33001 38411 60634 66002 76822 121268 132004 153644 156151 231007 268877 312302 462014 537754 624604 924028 1075508 1093057 2186114 2343071 4372228 4686142 9372284 9525211 11086721 16401497 19050422 22173442 32802994 38100844 44346884 65605988 66676477 77607047 84477691 133352954 155214094 168955382 266705908 310428188 337910764 591343837 676289981 1182687674 1352579962 2365375348 2705159924 4734029867 5153139151 5997916061 9468059734 10306278302 11995832122 18936119468 20612556604 23991664244 36071974057 41985412427 72143948114 83970824854 144287896228 167941649708 365872879721 731745759442 1463491518884 2561110158047 5122220316094 10244440632188