Search a number
-
+
4069874556 = 223211193117449
BaseRepresentation
bin1111001010010101…
…0101101101111100
3101111122012001022200
43302211111231330
531313341441211
61511503311500
7202566235326
oct36245255574
911448161280
104069874556
1117a9379aa0
12956bab590
134cb2480c7
142a8742616
1518c478b56
hexf2955b7c

4069874556 has 144 divisors (see below), whose sum is σ = 12195456000. Its totient is φ = 1130630400.

The previous prime is 4069874531. The next prime is 4069874563. The reversal of 4069874556 is 6554789604.

4069874556 is a `hidden beast` number, since 4 + 0 + 6 + 9 + 87 + 4 + 556 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224520 + ... + 241968.

Almost surely, 24069874556 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 4069874556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6097728000).

4069874556 is an abundant number, since it is smaller than the sum of its proper divisors (8125581444).

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

4069874556 is a wasteful number, since it uses less digits than its factorization.

4069874556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17520 (or 17515 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 4069874556 is about 63795.5684667830. The cubic root of 4069874556 is about 1596.5909913000.

The spelling of 4069874556 in words is "four billion, sixty-nine million, eight hundred seventy-four thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 31 33 36 38 44 57 62 66 76 93 99 114 124 132 171 186 198 209 228 279 341 342 372 396 418 558 589 627 682 684 836 1023 1116 1178 1254 1364 1767 1881 2046 2356 2508 3069 3534 3762 4092 5301 6138 6479 7068 7524 10602 12276 12958 17449 19437 21204 25916 34898 38874 52347 58311 69796 77748 104694 116622 157041 191939 209388 233244 314082 331531 383878 540919 575817 628164 663062 767756 994593 1081838 1151634 1326124 1622757 1727451 1989186 2163676 2303268 2983779 3245514 3454902 3646841 3978372 4868271 5950109 5967558 6491028 6909804 7293682 9736542 10277461 10940523 11900218 11935116 14587364 17850327 19473084 20554922 21881046 23800436 30832383 32821569 35700654 41109844 43762092 53550981 61664766 65643138 71401308 92497149 107101962 113052071 123329532 131286276 184994298 214203924 226104142 339156213 369988596 452208284 678312426 1017468639 1356624852 2034937278 4069874556