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4768665876 = 22321315764901
BaseRepresentation
bin1000111000011110…
…00001000100010100
3110022100002022210200
410130033001010110
534231234302001
62105105020500
7226112663652
oct43417010424
913270068720
104768665876
112027873287
12b11024730
135acc532b0
14333483dd2
151cd9ad086
hex11c3c1114

4768665876 has 72 divisors (see below), whose sum is σ = 13064253384. Its totient is φ = 1457913600.

The previous prime is 4768665859. The next prime is 4768665883. The reversal of 4768665876 is 6785668674.

4768665876 is a `hidden beast` number, since 47 + 6 + 8 + 6 + 6 + 587 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 389667600 + 4378998276 = 19740^2 + 66174^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41026 + ... + 105926.

Almost surely, 24768665876 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 4768665876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6532126692).

4768665876 is an abundant number, since it is smaller than the sum of its proper divisors (8295587508).

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

4768665876 is a wasteful number, since it uses less digits than its factorization.

4768665876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65081 (or 65076 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The square root of 4768665876 is about 69055.5274833232. The cubic root of 4768665876 is about 1683.1867277565.

The spelling of 4768665876 in words is "four billion, seven hundred sixty-eight million, six hundred sixty-five thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 157 234 314 468 471 628 942 1413 1884 2041 2826 4082 5652 6123 8164 12246 18369 24492 36738 64901 73476 129802 194703 259604 389406 584109 778812 843713 1168218 1687426 2336436 2531139 3374852 5062278 7593417 10124556 10189457 15186834 20378914 30373668 30568371 40757828 61136742 91705113 122273484 132462941 183410226 264925882 366820452 397388823 529851764 794777646 1192166469 1589555292 2384332938 4768665876