Search a number
-
+
57354647064 = 233111316711727
BaseRepresentation
bin110101011010100110…
…100111011000011000
312111001010212221201120
4311122212213120120
51414430242201224
642203125045240
74100205312321
oct653246473030
9174033787646
1057354647064
1122362226270
12b147b56820
1355406980b0
142ac1407448
15175a3b4779
hexd5a9a7618

57354647064 has 64 divisors (see below), whose sum is σ = 168454218240. Its totient is φ = 16043256960.

The previous prime is 57354647029. The next prime is 57354647113. The reversal of 57354647064 is 46074645375.

57354647064 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 = 57354646998 and 57354647016.

It is a congruent number.

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, 8352432 + ... + 8359295.

It is an arithmetic number, because the mean of its divisors is an integer number (2632097160).

Almost surely, 257354647064 is an apocalyptic number.

It is an amenable number.

57354647064 is an abundant number, since it is smaller than the sum of its proper divisors (111099571176).

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

57354647064 is a wasteful number, since it uses less digits than its factorization.

57354647064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16711760 (or 16711756 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 51.

The spelling of 57354647064 in words is "fifty-seven billion, three hundred fifty-four million, six hundred forty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 16711727 33423454 50135181 66846908 100270362 133693816 183828997 200540724 217252451 367657994 401081448 434504902 551486991 651757353 735315988 869009804 1102973982 1303514706 1470631976 1738019608 2205947964 2389776961 2607029412 4411895928 4779553922 5214058824 7169330883 9559107844 14338661766 19118215688 28677323532 57354647064