Search a number
-
+
5067881628 = 22317197317911
BaseRepresentation
bin1001011100001000…
…11011110010011100
3111002012010001122120
410232010123302130
540334334203003
62154514142540
7236405166045
oct45604336234
914065101576
105067881628
112170761527
12b95281a50
13629c38134
143610d18cc
151e9db4853
hex12e11bc9c

5067881628 has 96 divisors (see below), whose sum is σ = 13360919040. Its totient is φ = 1485527040.

The previous prime is 5067881627. The next prime is 5067881633. The reversal of 5067881628 is 8261887605.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5067881627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273993 + ... + 291903.

It is an arithmetic number, because the mean of its divisors is an integer number (139176240).

Almost surely, 25067881628 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 5067881628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6680459520).

5067881628 is an abundant number, since it is smaller than the sum of its proper divisors (8293037412).

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

5067881628 is a wasteful number, since it uses less digits than its factorization.

5067881628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18027 (or 18025 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The square root of 5067881628 is about 71189.0555352436. The cubic root of 5067881628 is about 1717.6795855175.

The spelling of 5067881628 in words is "five billion, sixty-seven million, eight hundred eighty-one thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 73 76 102 114 146 204 219 228 292 323 438 646 876 969 1241 1292 1387 1938 2482 2774 3723 3876 4161 4964 5548 7446 8322 14892 16644 17911 23579 35822 47158 53733 70737 71644 94316 107466 141474 214932 282948 304487 340309 608974 680618 913461 1020927 1217948 1307503 1361236 1826922 2041854 2615006 3653844 3922509 4083708 5230012 5785253 7845018 11570506 15690036 17355759 22227551 23141012 24842557 34711518 44455102 49685114 66682653 69423036 74527671 88910204 99370228 133365306 149055342 266730612 298110684 422323469 844646938 1266970407 1689293876 2533940814 5067881628