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4268774730 = 235112372859
BaseRepresentation
bin1111111001110000…
…0101010101001010
3102000111110020001210
43332130011111022
532220301242410
61543330353550
7210532662243
oct37634052512
912014406053
104268774730
1118a0680700
129b172b8b6
1353050890c
142c6d19cca
1519eb67220
hexfe70554a

4268774730 has 144 divisors (see below), whose sum is σ = 11587151520. Its totient is φ = 1005713280.

The previous prime is 4268774711. The next prime is 4268774753. The reversal of 4268774730 is 374778624.

It is a super-3 number, since 3×42687747303 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4268774730.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4969041 + ... + 4969899.

It is an arithmetic number, because the mean of its divisors is an integer number (80466330).

Almost surely, 24268774730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4268774730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5793575760).

4268774730 is an abundant number, since it is smaller than the sum of its proper divisors (7318376790).

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

4268774730 is a wasteful number, since it uses less digits than its factorization.

4268774730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 48.

The square root of 4268774730 is about 65335.8609800162. The cubic root of 4268774730 is about 1622.1876062354.

The spelling of 4268774730 in words is "four billion, two hundred sixty-eight million, seven hundred seventy-four thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 121 165 185 222 242 330 363 370 407 555 605 726 814 859 1110 1210 1221 1369 1718 1815 2035 2442 2577 2738 3630 4070 4107 4295 4477 5154 6105 6845 8214 8590 8954 9449 12210 12885 13431 13690 15059 18898 20535 22385 25770 26862 28347 30118 31783 41070 44770 45177 47245 56694 63566 67155 75295 90354 94490 95349 103939 134310 141735 150590 158915 165649 190698 207878 225885 283470 311817 317830 331298 349613 451770 476745 496947 519695 623634 699226 828245 953490 993894 1039390 1048839 1175971 1559085 1656490 1748065 2097678 2351942 2484735 3118170 3496130 3527913 3845743 4969470 5244195 5879855 7055826 7691486 10488390 11537229 11759710 12935681 17639565 19228715 23074458 25871362 35279130 38457430 38807043 57686145 64678405 77614086 115372290 129356810 142292491 194035215 284584982 388070430 426877473 711462455 853754946 1422924910 2134387365 4268774730