Search a number
-
+
960042870048 = 25353188687671
BaseRepresentation
bin11011111100001110000…
…00111010010100100000
310101210001001000220122010
431332013000322110200
5111212131433320143
62013012042312520
7126234520515543
oct15760700722440
93353031026563
10960042870048
11340174198849
121360904b8740
136c6bb076292
143467583885a
1519e8d8eba33
hexdf8703a520

960042870048 has 48 divisors (see below), whose sum is σ = 2567661840576. Its totient is φ = 313976282880.

The previous prime is 960042870043. The next prime is 960042870049. The reversal of 960042870048 is 840078240069.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 960042869979 and 960042870006.

It is not an unprimeable number, because it can be changed into a prime (960042870041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94338748 + ... + 94348923.

It is an arithmetic number, because the mean of its divisors is an integer number (53492955012).

Almost surely, 2960042870048 is an apocalyptic number.

It is an amenable number.

960042870048 is an abundant number, since it is smaller than the sum of its proper divisors (1607618970528).

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

960042870048 is a wasteful number, since it uses less digits than its factorization.

960042870048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188687737 (or 188687729 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 960042870048 in words is "nine hundred sixty billion, forty-two million, eight hundred seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 188687671 377375342 566063013 754750684 1132126026 1509501368 2264252052 3019002736 4528504104 6038005472 9057008208 10000446563 18114016416 20000893126 30001339689 40001786252 60002679378 80003572504 120005358756 160007145008 240010717512 320014290016 480021435024 960042870048