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21335345332028 = 227131919731563571
BaseRepresentation
bin1001101100111100001011…
…01011011111111100111100
32210112122020220021212022022
410312132011223133330330
510244024241401111103
6113213153342535312
74331266514042450
oct466360553377474
983478226255268
1021335345332028
1168862a6257332
122486b23b97538
13bb9bb7012410
1453a8c9b26660
1526eeabd02138
hex136785adff3c

21335345332028 has 96 divisors (see below), whose sum is σ = 48396180887040. Its totient is φ = 7992069223680.

The previous prime is 21335345332027. The next prime is 21335345332039. The reversal of 21335345332028 is 82023354353312.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 21335345332028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21335345332027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12863483 + ... + 14427053.

It is an arithmetic number, because the mean of its divisors is an integer number (504126884240).

Almost surely, 221335345332028 is an apocalyptic number.

21335345332028 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 21335345332028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24198090443520).

21335345332028 is an abundant number, since it is smaller than the sum of its proper divisors (27060835555012).

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

21335345332028 is a wasteful number, since it uses less digits than its factorization.

21335345332028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565587 (or 1565585 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 44.

The spelling of 21335345332028 in words is "twenty-one trillion, three hundred thirty-five billion, three hundred forty-five million, three hundred thirty-two thousand, twenty-eight".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 182 247 266 364 494 532 988 1729 1973 3458 3946 6916 7892 13811 25649 27622 37487 51298 55244 74974 102596 149948 179543 262409 359086 487331 524818 718172 974662 1049636 1563571 1949324 3127142 3411317 6254284 6822634 10944997 13645268 20326423 21889994 29707849 40652846 43779988 59415698 81305692 118831396 142284961 207954943 284569922 386202037 415909886 569139844 772404074 831819772 1544808148 2703414259 3084925583 5406828518 6169851166 10813657036 12339702332 21594479081 40104032579 43188958162 58613586077 80208065158 86377916324 117227172154 160416130316 234454344308 280728228053 410295102539 561456456106 761976619001 820590205078 1122912912212 1523953238002 1641180410156 3047906476004 5333836333007 10667672666014 21335345332028