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11234757109632 = 273710340578613
BaseRepresentation
bin1010001101111100101110…
…1101001110011110000000
31110210000212112120110210120
42203133023231032132000
52433032240310002012
635521102015100240
72236453516532430
oct243371355163600
943700775513716
1011234757109632
1136416a7554001
121315455511680
13636582543594
142aba9d7b82c0
151473961d158c
hexa37cbb4e780

11234757109632 has 128 divisors (see below), whose sum is σ = 34436634984960. Its totient is φ = 3178766149632.

The previous prime is 11234757109613. The next prime is 11234757109633. The reversal of 11234757109632 is 23690175743211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11234757109633) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20012443 + ... + 20566170.

It is an arithmetic number, because the mean of its divisors is an integer number (269036210820).

Almost surely, 211234757109632 is an apocalyptic number.

11234757109632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11234757109632 is an abundant number, since it is smaller than the sum of its proper divisors (23201877875328).

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

11234757109632 is a wasteful number, since it uses less digits than its factorization.

11234757109632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40578740 (or 40578728 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 11234757109632 in words is "eleven trillion, two hundred thirty-four billion, seven hundred fifty-seven million, one hundred nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 103 112 128 168 192 206 224 309 336 384 412 448 618 672 721 824 896 1236 1344 1442 1648 2163 2472 2688 2884 3296 4326 4944 5768 6592 8652 9888 11536 13184 17304 19776 23072 34608 39552 46144 69216 92288 138432 276864 40578613 81157226 121735839 162314452 243471678 284050291 324628904 486943356 568100582 649257808 852150873 973886712 1136201164 1298515616 1704301746 1947773424 2272402328 2597031232 3408603492 3895546848 4179597139 4544804656 5194062464 6817206984 7791093696 8359194278 9089609312 12538791417 13634413968 15582187392 16718388556 18179218624 25077582834 27268827936 29257179973 33436777112 36358437248 50155165668 54537655872 58514359946 66873554224 87771539919 100310331336 109075311744 117028719892 133747108448 175543079838 200620662672 234057439784 267494216896 351086159676 401241325344 468114879568 534988433792 702172319352 802482650688 936229759136 1404344638704 1604965301376 1872459518272 2808689277408 3744919036544 5617378554816 11234757109632