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21768703004048 = 247111310631278631
BaseRepresentation
bin1001111001100011010111…
…10011110100110110010000
32212002001211100012112210012
410330301223303310312100
510323124300432112143
6114144223141454052
74404510516344540
oct474615363646620
985061740175705
1021768703004048
116a33067378410
122536b06711328
13c1ba1a53b310
1455387a243320
1527b3c1eba418
hex13cc6bcf4d90

21768703004048 has 160 divisors (see below), whose sum is σ = 56682390761472. Its totient is φ = 7821533145600.

The previous prime is 21768703004033. The next prime is 21768703004051. The reversal of 21768703004048 is 84040030786712.

It is a junction number, because it is equal to n+sod(n) for n = 21768703003987 and 21768703004005.

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, 16385693 + ... + 17664323.

Almost surely, 221768703004048 is an apocalyptic number.

21768703004048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21768703004048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28341195380736).

21768703004048 is an abundant number, since it is smaller than the sum of its proper divisors (34913687757424).

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

21768703004048 is a wasteful number, since it uses less digits than its factorization.

21768703004048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279733 (or 1279727 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 50.

The spelling of 21768703004048 in words is "twenty-one trillion, seven hundred sixty-eight billion, seven hundred three million, four thousand, forty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1063 1144 1232 1456 2002 2126 2288 4004 4252 7441 8008 8504 11693 13819 14882 16016 17008 23386 27638 29764 46772 55276 59528 81851 93544 96733 110552 119056 152009 163702 187088 193466 221104 304018 327404 386932 608036 654808 773864 1064063 1216072 1278631 1309616 1547728 2128126 2432144 2557262 4256252 5114524 8512504 8950417 10229048 14064941 16622203 17025008 17900834 20458096 28129882 33244406 35801668 56259764 66488812 71603336 98454587 112519528 116355421 132977624 143206672 182844233 196909174 225039056 232710842 265955248 365688466 393818348 465421684 731376932 787636696 930843368 1279909631 1359184753 1462753864 1575273392 1861686736 2559819262 2718369506 2925507728 5119638524 5436739012 9514293271 10239277048 10873478024 14951032283 17669401789 19028586542 20478554096 21746956048 29902064566 35338803578 38057173084 59804129132 70677607156 76114346168 104657225981 119608258264 123685812523 141355214312 152228692336 194363419679 209314451962 239216516528 247371625046 282710428624 388726839358 418628903924 494743250092 777453678716 837257807848 989486500184 1360543937753 1554907357432 1674515615696 1978973000368 2721087875506 3109814714864 5442175751012 10884351502024 21768703004048