Search a number
-
+
76653695104 = 277174149139
BaseRepresentation
bin100011101100011101…
…0101001000010000000
321022212010110011122121
41013120322221002000
52223441321220404
655114134414024
75352356441440
oct1073072510200
9238763404577
1076653695104
112a566015748
1212a33201314
1372c7a8c24c
1439d2588120
151ed9820e54
hex11d8ea9080

76653695104 has 64 divisors (see below), whose sum is σ = 174627835200. Its totient is φ = 32832046080.

The previous prime is 76653695087. The next prime is 76653695123. The reversal of 76653695104 is 40159635667.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1535367 + ... + 1584505.

It is an arithmetic number, because the mean of its divisors is an integer number (2728559925).

Almost surely, 276653695104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76653695104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87313917600).

76653695104 is an abundant number, since it is smaller than the sum of its proper divisors (97974140096).

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

76653695104 is a wasteful number, since it uses less digits than its factorization.

76653695104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50901 (or 50889 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 52.

The spelling of 76653695104 in words is "seventy-six billion, six hundred fifty-three million, six hundred ninety-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1741 3482 6964 12187 13928 24374 27856 48748 49139 55712 97496 98278 111424 194992 196556 222848 343973 389984 393112 687946 779968 786224 1375892 1559936 1572448 2751784 3144896 5503568 6289792 11007136 22014272 44028544 85550999 171101998 342203996 598856993 684407992 1197713986 1368815984 2395427972 2737631968 4790855944 5475263936 9581711888 10950527872 19163423776 38326847552 76653695104