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4268903868 = 22322353891093
BaseRepresentation
bin1111111001110010…
…0100110110111100
3102000111200210012200
43332130210312330
532220314410433
61543333231500
7210534040605
oct37634446674
912014623180
104268903868
1118a0759729
129b1792590
13530552628
142c6d50dac
1519eb90613
hexfe724dbc

4268903868 has 144 divisors (see below), whose sum is σ = 11611978560. Its totient is φ = 1319205888.

The previous prime is 4268903857. The next prime is 4268903879. The reversal of 4268903868 is 8683098624.

It is an interprime number because it is at equal distance from previous prime (4268903857) and next prime (4268903879).

It is a super-3 number, since 3×42689038683 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent 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, 3905130 + ... + 3906222.

It is an arithmetic number, because the mean of its divisors is an integer number (80638740).

Almost surely, 24268903868 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 4268903868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5805989280).

4268903868 is an abundant number, since it is smaller than the sum of its proper divisors (7343074692).

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

4268903868 is a wasteful number, since it uses less digits than its factorization.

4268903868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 4268903868 is about 65336.8492353281. The cubic root of 4268903868 is about 1622.2039640870.

The spelling of 4268903868 in words is "four billion, two hundred sixty-eight million, nine hundred three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 53 69 89 92 106 138 159 178 207 212 267 276 318 356 414 477 534 636 801 828 954 1068 1093 1219 1602 1908 2047 2186 2438 3204 3279 3657 4094 4372 4717 4876 6141 6558 7314 8188 9434 9837 10971 12282 13116 14151 14628 18423 18868 19674 21942 24564 25139 28302 36846 39348 42453 43884 50278 56604 57929 73692 75417 84906 97277 100556 108491 115858 150834 169812 173787 194554 216982 226251 231716 291831 301668 325473 347574 389108 433964 452502 521361 583662 650946 695148 875493 905004 976419 1042722 1167324 1301892 1332367 1750986 1952838 2085444 2237371 2664734 3501972 3905676 3997101 4474742 5155681 5329468 6712113 7994202 8949484 10311362 11991303 13424226 15467043 15988404 20136339 20622724 23982606 26848452 30934086 40272678 46401129 47965212 61868172 80545356 92802258 118580663 185604516 237161326 355741989 474322652 711483978 1067225967 1422967956 2134451934 4268903868