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4778006706 = 23211172361717
BaseRepresentation
bin1000111001100101…
…01001100010110010
3110022222122220000100
410130302221202302
534241132203311
62110041133230
7226255246464
oct43462514262
913288586010
104778006706
112032073180
12b1418a216
135b1b73b05
143347d6134
151ce705a56
hex11cca98b2

4778006706 has 96 divisors (see below), whose sum is σ = 12477898368. Its totient is φ = 1303441920.

The previous prime is 4778006669. The next prime is 4778006743. The reversal of 4778006706 is 6076008774.

It is an interprime number because it is at equal distance from previous prime (4778006669) and next prime (4778006743).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46560 + ... + 108276.

It is an arithmetic number, because the mean of its divisors is an integer number (129978108).

Almost surely, 24778006706 is an apocalyptic number.

4778006706 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4778006706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6238949184).

4778006706 is an abundant number, since it is smaller than the sum of its proper divisors (7699891662).

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

4778006706 is a wasteful number, since it uses less digits than its factorization.

4778006706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61776 (or 61773 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 4778006706 is about 69123.1271428022. The cubic root of 4778006706 is about 1684.2850158333.

The spelling of 4778006706 in words is "four billion, seven hundred seventy-eight million, six thousand, seven hundred six".

Divisors: 1 2 3 6 9 11 17 18 22 23 33 34 46 51 66 69 99 102 138 153 187 198 207 253 306 374 391 414 506 561 759 782 1122 1173 1518 1683 2277 2346 3366 3519 4301 4554 7038 8602 12903 25806 38709 61717 77418 123434 185151 370302 555453 678887 1049189 1110906 1357774 1419491 2036661 2098378 2838982 3147567 4073322 4258473 6109983 6295134 8516946 9442701 11541079 12219966 12775419 15614401 18885402 23082158 24131347 25550838 31228802 34623237 46843203 48262694 69246474 72394041 93686406 103869711 140529609 144788082 207739422 217182123 265444817 281059218 434364246 530889634 796334451 1592668902 2389003353 4778006706