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4778066268 = 2232197198387
BaseRepresentation
bin1000111001100101…
…11000000101011100
3110022222202220201100
410130302320011130
534241141110033
62110042313100
7226255615233
oct43462700534
913288686640
104778066268
1120321039a8
12b141b8790
135b1b94c61
1433480db1a
151ce718513
hex11ccb815c

4778066268 has 72 divisors (see below), whose sum is σ = 12892763520. Its totient is φ = 1487596320.

The previous prime is 4778066261. The next prime is 4778066269. The reversal of 4778066268 is 8626608774.

4778066268 is a `hidden beast` number, since 4 + 7 + 7 + 8 + 0 + 6 + 626 + 8 = 666.

It is a super-2 number, since 2×47780662682 = 45659834522798895648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4778066261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630 + ... + 97757.

It is an arithmetic number, because the mean of its divisors is an integer number (179066160).

Almost surely, 24778066268 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 4778066268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6446381760).

4778066268 is an abundant number, since it is smaller than the sum of its proper divisors (8114697252).

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

4778066268 is a wasteful number, since it uses less digits than its factorization.

4778066268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98487 (or 98482 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 4778066268 is about 69123.5579813424. The cubic root of 4778066268 is about 1684.2920144956.

The spelling of 4778066268 in words is "four billion, seven hundred seventy-eight million, sixty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 71 76 114 142 171 213 228 284 342 426 639 684 852 1278 1349 2556 2698 4047 5396 8094 12141 16188 24282 48564 98387 196774 295161 393548 590322 885483 1180644 1770966 1869353 3541932 3738706 5608059 6985477 7477412 11216118 13970954 16824177 20956431 22432236 27941908 33648354 41912862 62869293 67296708 83825724 125738586 132724063 251477172 265448126 398172189 530896252 796344378 1194516567 1592688756 2389033134 4778066268