Search a number
-
+
71958026976 = 2531168142071
BaseRepresentation
bin100001100000100001…
…0000101101011100000
320212201212201111221020
41003001002011223200
52134332223330401
653020154125440
75125121065053
oct1030102055340
9225655644836
1071958026976
1128576480790
1211b42720880
136a29cb70b4
1436a8aa6a9a
151d12481d36
hex10c1085ae0

71958026976 has 48 divisors (see below), whose sum is σ = 206061625728. Its totient is φ = 21805462400.

The previous prime is 71958026969. The next prime is 71958026977. The reversal of 71958026976 is 67962085917.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71958026977) 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, 34069980 + ... + 34072091.

It is an arithmetic number, because the mean of its divisors is an integer number (4292950536).

Almost surely, 271958026976 is an apocalyptic number.

It is an amenable number.

71958026976 is an abundant number, since it is smaller than the sum of its proper divisors (134103598752).

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

71958026976 is a wasteful number, since it uses less digits than its factorization.

71958026976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68142095 (or 68142087 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 71958026976 in words is "seventy-one billion, nine hundred fifty-eight million, twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 68142071 136284142 204426213 272568284 408852426 545136568 749562781 817704852 1090273136 1499125562 1635409704 2180546272 2248688343 2998251124 3270819408 4497376686 5996502248 6541638816 8994753372 11993004496 17989506744 23986008992 35979013488 71958026976