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10643362423072 = 2531191267121031
BaseRepresentation
bin1001101011100001100111…
…0101100010000100100000
31101200111101020010122010221
42122320121311202010200
52343340101240014242
634345254310332424
72145646304613661
oct232703165420440
941614336118127
1010643362423072
1134339086858a5
12123a90865a114
135c2884665422
1428b1da369368
15136cd1a7b167
hex9ae19d62120

10643362423072 has 96 divisors (see below), whose sum is σ = 21752480268288. Its totient is φ = 5120889120000.

The previous prime is 10643362423051. The next prime is 10643362423073. The reversal of 10643362423072 is 27032426334601.

It is a happy number.

It is a super-2 number, since 2×106433624230722 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10643362423073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506069197 + ... + 506090227.

It is an arithmetic number, because the mean of its divisors is an integer number (226588336128).

Almost surely, 210643362423072 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 10643362423072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10876240134144).

10643362423072 is an abundant number, since it is smaller than the sum of its proper divisors (11109117845216).

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

10643362423072 is a wasteful number, since it uses less digits than its factorization.

10643362423072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23934 (or 23926 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 43.

Adding to 10643362423072 its reverse (27032426334601), we get a palindrome (37675788757673).

The spelling of 10643362423072 in words is "ten trillion, six hundred forty-three billion, three hundred sixty-two million, four hundred twenty-three thousand, seventy-two".

Divisors: 1 2 4 8 16 31 32 62 124 191 248 382 496 764 992 1528 2671 3056 5342 5921 6112 10684 11842 21031 21368 23684 42062 42736 47368 82801 84124 85472 94736 165602 168248 189472 331204 336496 510161 651961 662408 672992 1020322 1303922 1324816 2040644 2607844 2649632 4016921 4081288 5215688 8033842 8162576 10431376 15814991 16067684 16325152 20862752 31629982 32135368 56173801 63259964 64270736 112347602 124524551 126519928 128541472 224695204 249049102 253039856 449390408 498098204 506079712 898780816 996196408 1741387831 1797561632 1992392816 3482775662 3984785632 6965551324 10729195991 13931102648 21458391982 27862205296 42916783964 55724410592 85833567928 171667135856 332605075721 343334271712 665210151442 1330420302884 2660840605768 5321681211536 10643362423072