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76953534025 = 5210925092
BaseRepresentation
bin100011110101011001…
…0011011111001001001
321100122000122120022211
41013222302123321021
52230100101042100
655204005145121
75362660150414
oct1075262337111
9240560576284
1076953534025
112a6aa29a105
1212ab76bb1a1
137344c31924
143a20318b7b
152005cec1ba
hex11eac9be49

76953534025 has 27 divisors (see below), whose sum is σ = 96495426111. Its totient is φ = 60878191680.

The previous prime is 76953534023. The next prime is 76953534029. The reversal of 76953534025 is 52043535967.

The square root of 76953534025 is 277405.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 10927148089 + 66026385936 = 104533^2 + 256956^2 .

It is not a de Polignac number, because 76953534025 - 21 = 76953534023 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 76953534025.

It is not an unprimeable number, because it can be changed into a prime (76953534023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 151185471 + ... + 151185979.

Almost surely, 276953534025 is an apocalyptic number.

76953534025 is the 277405-th square number.

76953534025 is the 138703-rd centered octagonal number.

It is an amenable number.

76953534025 is a deficient number, since it is larger than the sum of its proper divisors (19541892086).

76953534025 is an frugal number, since it uses more digits than its factorization.

76953534025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 49.

Multiplying 76953534025 by its sum of digits (49), we get a square (3770723167225 = 19418352).

The spelling of 76953534025 in words is "seventy-six billion, nine hundred fifty-three million, five hundred thirty-four thousand, twenty-five".

Divisors: 1 5 25 109 509 545 2545 2725 11881 12725 55481 59405 259081 277405 297025 1295405 1387025 6047429 6477025 28239829 30237145 141199145 151185725 705995725 3078141361 15390706805 76953534025