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21857270145860 = 22512773833223273
BaseRepresentation
bin1001111100001000010101…
…10100101010001101000100
32212101112102201220111222202
410332010022310222031010
510331102142124131420
6114253031415014032
74414064346544142
oct476041264521504
985345381814882
1021857270145860
116a676861a7986
12255010366a318
13c27193548bc6
14557c7cb18592
1527d857661575
hex13e10ad2a344

21857270145860 has 48 divisors (see below), whose sum is σ = 45948401328816. Its totient is φ = 8733743327232.

The previous prime is 21857270145857. The next prime is 21857270145869. The reversal of 21857270145860 is 6854107275812.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 209615634244 + 21647654511616 = 457838^2 + 4652704^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21857270145796 and 21857270145805.

It is not an unprimeable number, because it can be changed into a prime (21857270145869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97783184 + ... + 98006456.

It is an arithmetic number, because the mean of its divisors is an integer number (957258361017).

Almost surely, 221857270145860 is an apocalyptic number.

21857270145860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21857270145860 is an abundant number, since it is smaller than the sum of its proper divisors (24091131182956).

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

21857270145860 is a wasteful number, since it uses less digits than its factorization.

21857270145860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228392 (or 228390 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 56.

The spelling of 21857270145860 in words is "twenty-one trillion, eight hundred fifty-seven billion, two hundred seventy million, one hundred forty-five thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 1277 2554 3833 5108 6385 7666 12770 15332 19165 25540 38330 76660 223273 446546 893092 1116365 2232730 4465460 4894741 9789482 19578964 24473705 48947410 97894820 285119621 570239242 855805409 1140478484 1425598105 1711610818 2851196210 3423221636 4279027045 5702392420 8558054090 17116108180 1092863507293 2185727014586 4371454029172 5464317536465 10928635072930 21857270145860