Search a number
-
+
5027313640 = 23547131137149
BaseRepresentation
bin1001010111010011…
…01011011111101000
3110222100202222211111
410223221223133220
540243443014030
62150504440104
7235403314036
oct45351533750
913870688744
105027313640
11214a873168
12b83779034
13621702bcb
14359971556
151e654e62a
hex12ba6b7e8

5027313640 has 128 divisors (see below), whose sum is σ = 11803968000. Its totient is φ = 1925847040.

The previous prime is 5027313637. The next prime is 5027313649. The reversal of 5027313640 is 463137205.

It is not an unprimeable number, because it can be changed into a prime (5027313649) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 33740286 + ... + 33740434.

It is an arithmetic number, because the mean of its divisors is an integer number (92218500).

Almost surely, 25027313640 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 5027313640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5901984000).

5027313640 is an abundant number, since it is smaller than the sum of its proper divisors (6776654360).

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

5027313640 is a wasteful number, since it uses less digits than its factorization.

5027313640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 5027313640 is about 70903.5516740875. The cubic root of 5027313640 is about 1713.0840051966.

The spelling of 5027313640 in words is "five billion, twenty-seven million, three hundred thirteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 131 137 149 188 235 262 274 298 376 470 524 548 596 655 685 745 940 1048 1096 1192 1310 1370 1490 1880 2620 2740 2980 5240 5480 5960 6157 6439 7003 12314 12878 14006 17947 19519 20413 24628 25756 28012 30785 32195 35015 35894 39038 40826 49256 51512 56024 61570 64390 70030 71788 78076 81652 89735 97595 102065 123140 128780 140060 143576 156152 163304 179470 195190 204130 246280 257560 280120 358940 390380 408260 717880 780760 816520 843509 917393 959411 1687018 1834786 1918822 2674103 3374036 3669572 3837644 4217545 4586965 4797055 5348206 6748072 7339144 7675288 8435090 9173930 9594110 10696412 13370515 16870180 18347860 19188220 21392824 26741030 33740360 36695720 38376440 53482060 106964120 125682841 251365682 502731364 628414205 1005462728 1256828410 2513656820 5027313640