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76325665441 = 43126412
BaseRepresentation
bin100011100010101011…
…1010011101010100001
321022000021012112112211
41013011113103222201
52222303332243231
655021415522121
75341264310644
oct1070527235241
9238007175484
1076325665441
112a407937153
1212961389341
137274b2925c
1439a0b99a5b
151ebab26eb1
hex11c55d3aa1

76325665441 has 9 divisors (see below), whose sum is σ = 76622701939. Its totient is φ = 76029779200.

The previous prime is 76325665399. The next prime is 76325665457. The reversal of 76325665441 is 14456652367.

The square root of 76325665441 is 276271.

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

It can be written as a sum of positive squares in only one way, i.e., 68895225441 + 7430440000 = 262479^2 + 86200^2 .

It is not a de Polignac number, because 76325665441 - 29 = 76325664929 is a prime.

It is a super-3 number, since 3×763256654413 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76325665841) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 119072481 + ... + 119073121.

Almost surely, 276325665441 is an apocalyptic number.

76325665441 is the 276271-st square number.

76325665441 is the 138136-th centered octagonal number.

It is an amenable number.

76325665441 is a deficient number, since it is larger than the sum of its proper divisors (297036498).

76325665441 is an frugal number, since it uses more digits than its factorization.

76325665441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 1072 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 49.

Multiplying 76325665441 by its sum of digits (49), we get a square (3739957606609 = 19338972).

The spelling of 76325665441 in words is "seventy-six billion, three hundred twenty-five million, six hundred sixty-five thousand, four hundred forty-one".

Divisors: 1 431 641 185761 276271 410881 119072801 177089711 76325665441