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4770143268 = 223111913713883
BaseRepresentation
bin1000111000101001…
…01001110000100100
3110022102212101101220
410130110221300210
534232124041033
62105200420340
7226131356142
oct43424516044
913272771356
104770143268
112028692270
12b116176b0
135b034c8a7
1433374a592
151cdba0bb3
hex11c529c24

4770143268 has 96 divisors (see below), whose sum is σ = 12875466240. Its totient is φ = 1359325440.

The previous prime is 4770143243. The next prime is 4770143281. The reversal of 4770143268 is 8623410774.

It is a super-3 number, since 3×47701432683 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336655 + ... + 350537.

It is an arithmetic number, because the mean of its divisors is an integer number (134119440).

Almost surely, 24770143268 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 4770143268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6437733120).

4770143268 is an abundant number, since it is smaller than the sum of its proper divisors (8105322972).

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

4770143268 is a wasteful number, since it uses less digits than its factorization.

4770143268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14057 (or 14055 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 4770143268 is about 69066.2237855813. The cubic root of 4770143268 is about 1683.3605338697.

The spelling of 4770143268 in words is "four billion, seven hundred seventy million, one hundred forty-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 137 209 228 274 411 418 548 627 822 836 1254 1507 1644 2508 2603 3014 4521 5206 6028 7809 9042 10412 13883 15618 18084 27766 28633 31236 41649 55532 57266 83298 85899 114532 152713 166596 171798 263777 305426 343596 458139 527554 610852 791331 916278 1055108 1582662 1832556 1901971 2901547 3165324 3803942 5705913 5803094 7607884 8704641 11411826 11606188 17409282 20921681 22823652 34818564 36137449 41843362 62765043 72274898 83686724 108412347 125530086 144549796 216824694 251060172 397511939 433649388 795023878 1192535817 1590047756 2385071634 4770143268