Search a number
-
+
6105064256824 = 2313172414954219
BaseRepresentation
bin101100011010111001000…
…1011111011010100111000
3210121122020102110210111111
41120311302023323110320
51300011132422204244
620552343334410104
71200035116650631
oct130656213732470
923548212423444
106105064256824
111a44163683675
12827251800934
133539221087c0
141716b567a888
15a8c17abce34
hex58d722fb538

6105064256824 has 96 divisors (see below), whose sum is σ = 13414739662800. Its totient is φ = 2587290808320.

The previous prime is 6105064256749. The next prime is 6105064256831. The reversal of 6105064256824 is 4286524605016.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 1244814 + ... + 3709405.

Almost surely, 26105064256824 is an apocalyptic number.

It is an amenable number.

6105064256824 is an abundant number, since it is smaller than the sum of its proper divisors (7309675405976).

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

6105064256824 is a wasteful number, since it uses less digits than its factorization.

6105064256824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4954313 (or 4954292 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 49.

The spelling of 6105064256824 in words is "six trillion, one hundred five billion, sixty-four million, two hundred fifty-six thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 17 26 34 41 52 68 82 104 136 164 221 289 328 442 533 578 697 884 1066 1156 1394 1768 2132 2312 2788 3757 4264 5576 7514 9061 11849 15028 18122 23698 30056 36244 47396 72488 94792 154037 308074 616148 1232296 4954219 9908438 19816876 39633752 64404847 84221723 128809694 168443446 203122979 257619388 336886892 406245958 515238776 673773784 812491916 1094882399 1431769291 1624983832 2189764798 2640598727 2863538582 3453090643 4379529596 5281197454 5727077164 6906181286 8759059192 10562394908 11454154328 13812362572 18613000783 21124789816 27624725144 37226001566 44890178359 58702540931 74452003132 89780356718 117405081862 148904006264 179560713436 234810163724 359121426872 469620327448 763133032103 1526266064206 3052532128412 6105064256824