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2053945115856 = 243379101595877
BaseRepresentation
bin11101111000111000101…
…010110100010011010000
321021100120222002200011000
4131320320222310103100
5232122434422201411
64211322552022000
7301251450265224
oct35707052642320
97240528080130
102053945115856
11722089520867
1229209a091900
1311b8bc74a27a
14715a9128784
1538663da5956
hex1de38ab44d0

2053945115856 has 160 divisors (see below), whose sum is σ = 6029331955200. Its totient is φ = 669287923200.

The previous prime is 2053945115839. The next prime is 2053945115869. The reversal of 2053945115856 is 6585115493502.

2053945115856 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 9 + 4 + 51 + 1 + 585 + 6 = 666.

It is a super-2 number, since 2×20539451158562 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3148990 + ... + 3744866.

It is an arithmetic number, because the mean of its divisors is an integer number (37683324720).

Almost surely, 22053945115856 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 2053945115856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014665977600).

2053945115856 is an abundant number, since it is smaller than the sum of its proper divisors (3975386839344).

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

2053945115856 is a wasteful number, since it uses less digits than its factorization.

2053945115856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596074 (or 596062 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 2053945115856 in words is "two trillion, fifty-three billion, nine hundred forty-five million, one hundred fifteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 101 108 144 158 202 216 237 303 316 404 432 474 606 632 711 808 909 948 1212 1264 1422 1616 1818 1896 2133 2424 2727 2844 3636 3792 4266 4848 5454 5688 7272 7979 8532 10908 11376 14544 15958 17064 21816 23937 31916 34128 43632 47874 63832 71811 95748 127664 143622 191496 215433 287244 382992 430866 574488 595877 861732 1148976 1191754 1723464 1787631 2383508 3446928 3575262 4767016 5362893 7150524 9534032 10725786 14301048 16088679 21451572 28602096 32177358 42903144 47074283 60183577 64354716 85806288 94148566 120367154 128709432 141222849 180550731 188297132 240734308 257418864 282445698 361101462 376594264 423668547 481468616 541652193 564891396 722202924 753188528 847337094 962937232 1083304386 1129782792 1271005641 1444405848 1624956579 1694674188 2166608772 2259565584 2542011282 2888811696 3249913158 3389348376 4333217544 4754502583 5084022564 6499826316 6778696752 8666435088 9509005166 10168045128 12999652632 14263507749 19018010332 20336090256 25999305264 28527015498 38036020664 42790523247 57054030996 76072041328 85581046494 114108061992 128371569741 171162092988 228216123984 256743139482 342324185976 513486278964 684648371952 1026972557928 2053945115856