Search a number
-
+
4768108776 = 2332294155697
BaseRepresentation
bin1000111000011001…
…11001000011101000
3110022022001000121100
410130030321003220
534231113440101
62105045041400
7226105153524
oct43414710350
913268030540
104768108776
112027522772
12b109b6260
135acab9852
1433337ad84
151cd8ece86
hex11c3390e8

4768108776 has 96 divisors (see below), whose sum is σ = 13684998600. Its totient is φ = 1497108480.

The previous prime is 4768108759. The next prime is 4768108819. The reversal of 4768108776 is 6778018674.

It can be written as a sum of positive squares in 4 ways, for example, as 4418792676 + 349316100 = 66474^2 + 18690^2 .

It is a super-2 number, since 2×47681087762 = 45469722599536436352, which contains 22 as substring.

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, 57760 + ... + 113456.

Almost surely, 24768108776 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 4768108776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6842499300).

4768108776 is an abundant number, since it is smaller than the sum of its proper divisors (8916889824).

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

4768108776 is a wasteful number, since it uses less digits than its factorization.

4768108776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55779 (or 55772 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The square root of 4768108776 is about 69051.4936550977. The cubic root of 4768108776 is about 1683.1211790357.

The spelling of 4768108776 in words is "four billion, seven hundred sixty-eight million, one hundred eight thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 41 58 72 82 87 116 123 164 174 232 246 261 328 348 369 492 522 696 738 984 1044 1189 1476 2088 2378 2952 3567 4756 7134 9512 10701 14268 21402 28536 42804 55697 85608 111394 167091 222788 334182 445576 501273 668364 1002546 1336728 1615213 2005092 2283577 3230426 4010184 4567154 4845639 6460852 6850731 9134308 9691278 12921704 13701462 14536917 18268616 19382556 20552193 27402924 29073834 38765112 41104386 54805848 58147668 66223733 82208772 116295336 132447466 164417544 198671199 264894932 397342398 529789864 596013597 794684796 1192027194 1589369592 2384054388 4768108776