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76041469470976 = 28312175812
BaseRepresentation
bin10001010010100011001000…
…110001101010100100000000
3100222020111022202021201102021
4101102203020301222210000
534431330412141032401
6425420545133131224
722005546333602032
oct2122431061524400
9328214282251367
1076041469470976
1122258008134939
12864141a329b14
1333578ab6ac5b9
1414ac5d9059c52
158bd02e47e2a1
hex4528c8c6a900

76041469470976 has 81 divisors (see below), whose sum is σ = 156849088668489. Its totient is φ = 36792166579200.

The previous prime is 76041469470907. The next prime is 76041469470991. The reversal of 76041469470976 is 67907496414067.

The square root of 76041469470976 is 8720176.

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., 19351412152576 + 56690057318400 = 4399024^2 + 7529280^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4325198506 + ... + 4325216086.

Almost surely, 276041469470976 is an apocalyptic number.

76041469470976 is the 8720176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76041469470976

76041469470976 is an abundant number, since it is smaller than the sum of its proper divisors (80807619197513).

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

76041469470976 is an frugal number, since it uses more digits than its factorization.

76041469470976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35240 (or 17614 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 70.

The spelling of 76041469470976 in words is "seventy-six trillion, forty-one billion, four hundred sixty-nine million, four hundred seventy thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 961 992 1922 1984 3844 3968 7688 7936 15376 17581 30752 35162 61504 70324 123008 140648 246016 281296 545011 562592 1090022 1125184 2180044 2250368 4360088 4500736 8720176 16895341 17440352 33790682 34880704 67581364 69761408 135162728 139522816 270325456 309091561 540650912 618183122 1081301824 1236366244 2162603648 2472732488 4325207296 4945464976 9581838391 9890929952 19163676782 19781859904 38327353564 39563719808 76654707128 79127439616 153309414256 297036990121 306618828512 594073980242 613237657024 1188147960484 1226475314048 2376295920968 2452950628096 4752591841936 9505183683872 19010367367744 38020734735488 76041469470976