Search a number
-
+
57383700136 = 23719281191929
BaseRepresentation
bin110101011100010101…
…011100011010101000
312111010011120000001021
4311130111130122220
51420010211401021
642210043502224
74101010255210
oct653425343250
9174104500037
1057383700136
112237766a274
12b155827974
1355466cb069
142ac520b240
15175cc02c41
hexd5c55c6a8

57383700136 has 64 divisors (see below), whose sum is σ = 129898224000. Its totient is φ = 23215610880.

The previous prime is 57383700113. The next prime is 57383700151. The reversal of 57383700136 is 63100738375.

57383700136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57383700092 and 57383700101.

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, 203020 + ... + 394948.

It is an arithmetic number, because the mean of its divisors is an integer number (2029659750).

Almost surely, 257383700136 is an apocalyptic number.

57383700136 is a gapful number since it is divisible by the number (56) 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 57383700136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64949112000).

57383700136 is an abundant number, since it is smaller than the sum of its proper divisors (72514523864).

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

57383700136 is a wasteful number, since it uses less digits than its factorization.

57383700136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192242 (or 192238 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

The spelling of 57383700136 in words is "fifty-seven billion, three hundred eighty-three million, seven hundred thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 281 532 562 1064 1124 1967 2248 3934 5339 7868 10678 15736 21356 37373 42712 74746 149492 191929 298984 383858 767716 1343503 1535432 2687006 3646651 5374012 7293302 10748024 14586604 25526557 29173208 51053114 53932049 102106228 107864098 204212456 215728196 377524343 431456392 755048686 1024708931 1510097372 2049417862 3020194744 4098835724 7172962517 8197671448 14345925034 28691850068 57383700136