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76332848656 = 241742392
BaseRepresentation
bin100011100010111001…
…0101101011000010000
321022000202201111001211
41013011302231120100
52222312202124111
655022233505504
75341412336161
oct1070562553020
9238022644054
1076332848656
112a4109a2a99
1212963872294
13727647298c
1439a1b09768
151ebb595521
hex11c5cad610

76332848656 has 75 divisors (see below), whose sum is σ = 157798447531. Its totient is φ = 35771042048.

The previous prime is 76332848623. The next prime is 76332848659. The reversal of 76332848656 is 65684823367.

The square root of 76332848656 is 276284.

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

It can be written as a sum of positive squares in 2 ways, for example, as 23690135056 + 52642713600 = 153916^2 + 229440^2 .

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 76332848656.

It is not an unprimeable number, because it can be changed into a prime (76332848659) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 319384185 + ... + 319384423.

Almost surely, 276332848656 is an apocalyptic number.

76332848656 is the 276284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76332848656

76332848656 is an abundant number, since it is smaller than the sum of its proper divisors (81465598875).

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

76332848656 is an frugal number, since it uses more digits than its factorization.

76332848656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 258 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 58.

The spelling of 76332848656 in words is "seventy-six billion, three hundred thirty-two million, eight hundred forty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 136 239 272 289 478 578 956 1156 1912 2312 3824 4063 4624 4913 8126 9826 16252 19652 32504 39304 57121 65008 69071 78608 83521 114242 138142 167042 228484 276284 334084 456968 552568 668168 913936 971057 1105136 1174207 1336336 1942114 2348414 3884228 4696828 7768456 9393656 15536912 16507969 18787312 19961519 33015938 39923038 66031876 79846076 132063752 159692152 264127504 280635473 319384304 561270946 1122541892 2245083784 4490167568 4770803041 9541606082 19083212164 38166424328 76332848656