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20193148848928 = 2511713892077081
BaseRepresentation
bin1001001011101100101010…
…11101101100101100100000
32122111110001021002122201011
410211312111131230230200
510121321032101131203
6110540334324150304
74152623024113336
oct445662535545440
978443037078634
1020193148848928
116485959100010
122321698838394
13b3628a0b4c63
144db4d448bb56
1525040bae476d
hex125d9576cb20

20193148848928 has 96 divisors (see below), whose sum is σ = 44093293695360. Its totient is φ = 9026158848000.

The previous prime is 20193148848919. The next prime is 20193148848947. The reversal of 20193148848928 is 82984884139102.

It is a happy number.

It is a super-2 number, since 2×201931488489282 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8683348 + ... + 10760428.

It is an arithmetic number, because the mean of its divisors is an integer number (459305142660).

Almost surely, 220193148848928 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 20193148848928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22046646847680).

20193148848928 is an abundant number, since it is smaller than the sum of its proper divisors (23900144846432).

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

20193148848928 is a wasteful number, since it uses less digits than its factorization.

20193148848928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077562 (or 2077554 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 67.

The spelling of 20193148848928 in words is "twenty trillion, one hundred ninety-three billion, one hundred forty-eight million, eight hundred forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 71 88 142 176 284 352 389 568 778 781 1136 1556 1562 2272 3112 3124 4279 6224 6248 8558 12448 12496 17116 24992 27619 34232 55238 68464 110476 136928 220952 303809 441904 607618 883808 1215236 2077081 2430472 4154162 4860944 8308324 9721888 16616648 22847891 33233296 45695782 66466592 91391564 147472751 182783128 294945502 365566256 589891004 731132512 807984509 1179782008 1615969018 1622200261 2359564016 3231938036 3244400522 4719128032 6463876072 6488801044 8887829599 12927752144 12977602088 17775659198 25855504288 25955204176 35551318396 51910408352 57366900139 71102636792 114733800278 142205273584 229467600556 284410547168 458935201112 631035901529 917870402224 1262071803058 1835740804448 2524143606116 5048287212232 10096574424464 20193148848928