Search a number
-
+
42771077544 = 23313983913933
BaseRepresentation
bin100111110101010110…
…101101100110101000
311002101210022212021010
4213311112231212220
51200043343440134
631352044343520
73042623106036
oct476526554650
9132353285233
1042771077544
1117159181678
128357b44ba0
1340581c4110
1420da623556
1511a4e0bce9
hex9f55ad9a8

42771077544 has 64 divisors (see below), whose sum is σ = 115172870400. Its totient is φ = 13158049536.

The previous prime is 42771077537. The next prime is 42771077551. The reversal of 42771077544 is 44577017724.

It is an interprime number because it is at equal distance from previous prime (42771077537) and next prime (42771077551).

It is a super-2 number, since 2×427710775442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42771077493 and 42771077502.

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, 3062802 + ... + 3076734.

It is an arithmetic number, because the mean of its divisors is an integer number (1799576100).

Almost surely, 242771077544 is an apocalyptic number.

It is an amenable number.

42771077544 is an abundant number, since it is smaller than the sum of its proper divisors (72401792856).

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

42771077544 is a wasteful number, since it uses less digits than its factorization.

42771077544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23794 (or 23790 counting only the distinct ones).

The product of its (nonzero) digits is 1536640, while the sum is 48.

The spelling of 42771077544 in words is "forty-two billion, seven hundred seventy-one million, seventy-seven thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 9839 13933 19678 27866 29517 39356 41799 55732 59034 78712 83598 111464 118068 127907 167196 181129 236136 255814 334392 362258 383721 511628 543387 724516 767442 1023256 1086774 1449032 1534884 2173548 3069768 4347096 137086787 274173574 411260361 548347148 822520722 1096694296 1645041444 1782128231 3290082888 3564256462 5346384693 7128512924 10692769386 14257025848 21385538772 42771077544