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76426126952 = 23729971094451
BaseRepresentation
bin100011100101101011…
…0100010011001101000
321022021021020111211112
41013023112202121220
52223010042030302
655035405045452
75343624234440
oct1071326423150
9238237214745
1076426126952
112a45961339a
121298ab56888
13728c8a1b36
1439b026b120
151ec486d552
hex11cb5a2668

76426126952 has 128 divisors (see below), whose sum is σ = 172773216000. Its totient is φ = 31004467200.

The previous prime is 76426126939. The next prime is 76426126961. The reversal of 76426126952 is 25962162467.

It is a self number, because there is not a number n which added to its sum of digits gives 76426126952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17168327 + ... + 17172777.

It is an arithmetic number, because the mean of its divisors is an integer number (1349790750).

Almost surely, 276426126952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76426126952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86386608000).

76426126952 is an abundant number, since it is smaller than the sum of its proper divisors (96347089048).

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

76426126952 is a wasteful number, since it uses less digits than its factorization.

76426126952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4699 (or 4695 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 50.

The spelling of 76426126952 in words is "seventy-six billion, four hundred twenty-six million, one hundred twenty-six thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 29 56 58 97 109 116 194 203 218 232 388 406 436 679 763 776 812 872 1358 1526 1624 2716 2813 3052 3161 4451 5432 5626 6104 6322 8902 10573 11252 12644 17804 19691 21146 22127 22504 25288 31157 35608 39382 42292 44254 62314 74011 78764 84584 88508 124628 129079 148022 157528 177016 249256 258158 296044 306617 431747 485159 516316 592088 613234 863494 903553 970318 1032632 1226468 1726988 1807106 1940636 2146319 2452936 3022229 3396113 3453976 3614212 3881272 4292638 6044458 6792226 7228424 8585276 12088916 12520663 13584452 14069611 17170552 24177832 25041326 27168904 28139222 47060423 50082652 56278444 87644641 94120846 98487277 100165304 112556888 175289282 188241692 196974554 329422961 350578564 376483384 393949108 658845922 701157128 787898216 1317691844 1364752267 2635383688 2729504534 5459009068 9553265869 10918018136 19106531738 38213063476 76426126952