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2146944324756 = 2237111926436379
BaseRepresentation
bin11111001111011111110…
…110101001010010010100
321121020122020111222102110
4133033133312221102110
5240133420221343011
64322143111511020
7311053165441110
oct37173766512224
97536566458373
102146944324756
117585721119a0
122a8113388470
131275c0a3796a
1475cac4a4740
153aca86bbba6
hex1f3dfda9494

2146944324756 has 144 divisors (see below), whose sum is σ = 6591676976640. Its totient is φ = 528297906240.

The previous prime is 2146944324751. The next prime is 2146944324809. The reversal of 2146944324756 is 6574234496412.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 2146944324696 and 2146944324705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146944324751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2884626 + ... + 3551753.

It is an arithmetic number, because the mean of its divisors is an integer number (45775534560).

Almost surely, 22146944324756 is an apocalyptic number.

It is an amenable number.

2146944324756 is an abundant number, since it is smaller than the sum of its proper divisors (4444732651884).

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

2146944324756 is a wasteful number, since it uses less digits than its factorization.

2146944324756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6436442 (or 6436421 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 57.

The spelling of 2146944324756 in words is "two trillion, one hundred forty-six billion, nine hundred forty-four million, three hundred twenty-four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 132 133 154 209 228 231 266 308 361 399 418 462 532 627 722 798 836 924 1083 1254 1444 1463 1596 2166 2508 2527 2926 3971 4332 4389 5054 5852 7581 7942 8778 10108 11913 15162 15884 17556 23826 27797 30324 47652 55594 83391 111188 166782 333564 6436379 12872758 19309137 25745516 38618274 45054653 70800169 77236548 90109306 122291201 135163959 141600338 180218612 212400507 244582402 270327918 283200676 366873603 424801014 489164804 495601183 540655836 733747206 849602028 856038407 991202366 1345203211 1467494412 1486803549 1712076814 1982404732 2323532819 2568115221 2690406422 2973607098 3424153628 4035609633 4647065638 5136230442 5380812844 5947214196 6970598457 8071219266 9294131276 9416422477 10272460884 13941196914 16142438532 16264729733 18832844954 25558861009 27882393828 28249267431 32529459466 37665689908 48794189199 51117722018 56498534862 65058918932 76676583027 97588378398 102235444036 112997069724 153353166054 178912027063 195176756796 306706332108 357824054126 536736081189 715648108252 1073472162378 2146944324756