Search a number
-
+
55254135112 = 231141471631999
BaseRepresentation
bin110011011101011001…
…110011000101001000
312021121202101220000121
4303131121303011020
51401130024310422
641214451513024
73664151253631
oct633531630510
9167552356017
1055254135112
1121484578580
12a8605b8774
13529745b207
142962466888
151685c9a8c7
hexcdd673148

55254135112 has 128 divisors (see below), whose sum is σ = 119024640000. Its totient is φ = 23822553600.

The previous prime is 55254135109. The next prime is 55254135119. The reversal of 55254135112 is 21153145255.

55254135112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (55254135119) 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, 27639889 + ... + 27641887.

It is an arithmetic number, because the mean of its divisors is an integer number (929880000).

Almost surely, 255254135112 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 55254135112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59512320000).

55254135112 is an abundant number, since it is smaller than the sum of its proper divisors (63770504888).

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

55254135112 is a wasteful number, since it uses less digits than its factorization.

55254135112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2263 counting only the distinct ones).

The product of its digits is 30000, while the sum is 34.

The spelling of 55254135112 in words is "fifty-five billion, two hundred fifty-four million, one hundred thirty-five thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 41 44 47 82 88 94 163 164 188 326 328 376 451 517 652 902 1034 1304 1793 1804 1927 1999 2068 3586 3608 3854 3998 4136 6683 7172 7661 7708 7996 13366 14344 15322 15416 15992 21197 21989 26732 30644 42394 43978 53464 61288 73513 81959 84271 84788 87956 93953 147026 163918 168542 169576 175912 187906 294052 314101 325837 327836 337084 375812 588104 628202 651674 655672 674168 751624 901549 1033483 1256404 1303348 1803098 2066966 2512808 2606696 3455111 3584207 3606196 3852073 4133932 6910222 7168414 7212392 7704146 8267864 13359317 13820444 14336828 15314339 15408292 26718634 27640888 28673656 30628678 30816584 42372803 53437268 61257356 84745606 106874536 122514712 146952487 168457729 169491212 293904974 336915458 338982424 587809948 627887899 673830916 1175619896 1255775798 1347661832 2511551596 5023103192 6906766889 13813533778 27627067556 55254135112