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76423496704 = 2105321632
BaseRepresentation
bin100011100101100110…
…0100000010000000000
321022021002021212210221
41013023030200100000
52223003403343304
655035232432424
75343563001202
oct1071314402000
9238232255727
1076423496704
112a458087235
121298a0a8714
13728c190889
1439adb84772
151ec44ee054
hex11cb320400

76423496704 has 99 divisors (see below), whose sum is σ = 156670377213. Its totient is φ = 37260767232.

The previous prime is 76423496593. The next prime is 76423496713. The reversal of 76423496704 is 40769432467.

The square root of 76423496704 is 276448.

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., 55093478400 + 21330018304 = 234720^2 + 146048^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 468855727 + ... + 468855889.

Almost surely, 276423496704 is an apocalyptic number.

76423496704 is the 276448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76423496704

76423496704 is an abundant number, since it is smaller than the sum of its proper divisors (80246880509).

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

76423496704 is an frugal number, since it uses more digits than its factorization.

76423496704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 52.

The spelling of 76423496704 in words is "seventy-six billion, four hundred twenty-three million, four hundred ninety-six thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 53 64 106 128 163 212 256 326 424 512 652 848 1024 1304 1696 2608 2809 3392 5216 5618 6784 8639 10432 11236 13568 17278 20864 22472 26569 27136 34556 41728 44944 53138 54272 69112 83456 89888 106276 138224 166912 179776 212552 276448 359552 425104 457867 552896 719104 850208 915734 1105792 1408157 1438208 1700416 1831468 2211584 2816314 2876416 3400832 3662936 4423168 5632628 6801664 7325872 8846336 11265256 13603328 14651744 22530512 27206656 29303488 45061024 58606976 74632321 90122048 117213952 149264642 180244096 234427904 298529284 360488192 468855808 597058568 720976384 1194117136 1441952768 2388234272 4776468544 9552937088 19105874176 38211748352 76423496704