Search a number
-
+
76768242616 = 23133776925943
BaseRepresentation
bin100011101111110111…
…1100110101110111000
321100011002222210022001
41013133233212232320
52224210132230431
655133345510344
75355250203262
oct1073757465670
9240132883261
1076768242616
112a614742a0a
1212a656423b4
137315727440
143a03884b32
151ee48eae61
hex11dfbe6bb8

76768242616 has 64 divisors (see below), whose sum is σ = 159415502400. Its totient is φ = 34427731968.

The previous prime is 76768242611. The next prime is 76768242619. The reversal of 76768242616 is 61624286767.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76768242611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2946141 + ... + 2972083.

It is an arithmetic number, because the mean of its divisors is an integer number (2490867225).

Almost surely, 276768242616 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 76768242616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79707751200).

76768242616 is an abundant number, since it is smaller than the sum of its proper divisors (82647259784).

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

76768242616 is a wasteful number, since it uses less digits than its factorization.

76768242616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26768 (or 26764 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 55.

The spelling of 76768242616 in words is "seventy-six billion, seven hundred sixty-eight million, two hundred forty-two thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 481 769 962 1538 1924 3076 3848 6152 9997 19994 25943 28453 39988 51886 56906 79976 103772 113812 207544 227624 337259 369889 674518 739778 959891 1349036 1479556 1919782 2698072 2959112 3839564 7679128 12478583 19950167 24957166 39900334 49914332 79800668 99828664 159601336 259352171 518704342 738156179 1037408684 1476312358 2074817368 2952624716 5905249432 9596030327 19192060654 38384121308 76768242616