Search a number
-
+
5145281778 = 23713174671187
BaseRepresentation
bin1001100101010111…
…01100010011110010
3111021120202101200210
410302223230103302
541014143004103
62210321124550
7241335113340
oct46253542362
914246671623
105145281778
11220041739a
12bb7189756
1363cc98040
1436b4bc990
15201aa2e03
hex132aec4f2

5145281778 has 128 divisors (see below), whose sum is σ = 13450364928. Its totient is φ = 1273365504.

The previous prime is 5145281717. The next prime is 5145281783. The reversal of 5145281778 is 8771825415.

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 63 ways as a sum of consecutive naturals, for example, 4334101 + ... + 4335287.

It is an arithmetic number, because the mean of its divisors is an integer number (105080976).

Almost surely, 25145281778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5145281778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6725182464).

5145281778 is an abundant number, since it is smaller than the sum of its proper divisors (8305083150).

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

5145281778 is a wasteful number, since it uses less digits than its factorization.

5145281778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696.

The product of its digits is 627200, while the sum is 48.

The square root of 5145281778 is about 71730.6195289013. The cubic root of 5145281778 is about 1726.3799672975.

The spelling of 5145281778 in words is "five billion, one hundred forty-five million, two hundred eighty-one thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 221 238 273 357 442 467 546 663 714 934 1187 1326 1401 1547 2374 2802 3094 3269 3561 4641 6071 6538 7122 7939 8309 9282 9807 12142 15431 15878 16618 18213 19614 20179 23817 24927 30862 36426 40358 42497 46293 47634 49854 55573 60537 84994 92586 103207 108017 111146 121074 127491 141253 166719 206414 216034 254982 262327 282506 309621 324051 333438 423759 524654 554329 619242 648102 722449 786981 847518 1108658 1444898 1573962 1662987 1836289 2167347 3325974 3672578 3880303 4334694 5508867 7206277 7760606 9423593 11017734 11640909 14412554 18847186 21618831 23281818 28270779 43237662 50443939 56541558 65965151 100887878 122506709 131930302 151331817 197895453 245013418 302663634 367520127 395790906 735040254 857546963 1715093926 2572640889 5145281778