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114652005064 = 231719298917191
BaseRepresentation
bin110101011000111001…
…0101100001011001000
3101221221021222022121221
41222301302230023020
53334301403130224
6124400450211424
711166116651302
oct1526162541310
9357837868557
10114652005064
11446950823a3
121a278883b74
13aa7222511c
145798d7a972
152eb070e6e4
hex1ab1cac2c8

114652005064 has 128 divisors (see below), whose sum is σ = 250659360000. Its totient is φ = 48794296320.

The previous prime is 114652005031. The next prime is 114652005073. The reversal of 114652005064 is 460500256411.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6660709 + ... + 6677899.

It is an arithmetic number, because the mean of its divisors is an integer number (1958276250).

Almost surely, 2114652005064 is an apocalyptic number.

It is an amenable number.

114652005064 is an abundant number, since it is smaller than the sum of its proper divisors (136007354936).

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

114652005064 is a wasteful number, since it uses less digits than its factorization.

114652005064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17351 (or 17347 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 114652005064 in words is "one hundred fourteen billion, six hundred fifty-two million, five thousand, sixty-four".

Divisors: 1 2 4 8 17 19 29 34 38 58 68 76 89 116 136 152 178 232 323 356 493 551 646 712 986 1102 1292 1513 1691 1972 2204 2581 2584 3026 3382 3944 4408 5162 6052 6764 9367 10324 12104 13528 17191 18734 20648 28747 34382 37468 43877 49039 57494 68764 74936 87754 98078 114988 137528 175508 196156 229976 292247 326629 351016 392312 498539 584494 653258 833663 997078 1168988 1306516 1529999 1667326 1994156 2337976 2613032 3059998 3334652 3988312 5552693 6119996 6669304 8475163 9472241 11105386 12239992 16950326 18944482 22210772 26009983 29069981 33900652 37888964 44369971 44421544 52019966 58139962 67801304 75777928 88739942 104039932 116279924 161028097 177479884 208079864 232559848 322056194 354959768 494189677 644112388 754289507 843029449 988379354 1288224776 1508579014 1686058898 1976758708 3017158028 3372117796 3953517416 6034316056 6744235592 14331500633 28663001266 57326002532 114652005064