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21148611337 = 731797139269
BaseRepresentation
bin10011101100100011…
…100011001100001001
32000120212211202210101
4103230203203030021
5321303021030322
613414320045401
71346040142000
oct235443431411
960525752711
1021148611337
118a72926797
124122763861
131cc0648909
141048a79c37
1583ba05327
hex4ec8e3309

21148611337 has 64 divisors (see below), whose sum is σ = 26671680000. Its totient is φ = 16701382656.

The previous prime is 21148611331. The next prime is 21148611391. The reversal of 21148611337 is 73311684112.

It is not a de Polignac number, because 21148611337 - 223 = 21140222729 is a prime.

It is a super-2 number, since 2×211486113372 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21148611296 and 21148611305.

It is not an unprimeable number, because it can be changed into a prime (21148611331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78619239 + ... + 78619507.

It is an arithmetic number, because the mean of its divisors is an integer number (416745000).

Almost surely, 221148611337 is an apocalyptic number.

It is an amenable number.

21148611337 is a deficient number, since it is larger than the sum of its proper divisors (5523068663).

21148611337 is a wasteful number, since it uses less digits than its factorization.

21148611337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 529 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The spelling of 21148611337 in words is "twenty-one billion, one hundred forty-eight million, six hundred eleven thousand, three hundred thirty-seven".

Divisors: 1 7 17 49 97 119 139 269 343 679 833 973 1649 1883 2363 4573 4753 5831 6811 11543 13181 13483 16541 26093 32011 33271 37391 47677 80801 92267 94381 115787 182651 224077 229211 261737 443581 565607 635647 660667 810509 1278557 1568539 1604477 1832159 3105067 3626927 4449529 4624669 8949899 11231339 12825113 21735469 25388489 31146703 61657759 78619373 152148283 177719423 218026921 431604313 1244035961 3021230191 21148611337