Search a number
-
+
4621675734 = 23213312712351
BaseRepresentation
bin1000100110111100…
…10010110011010110
3102221002111110020100
410103132102303112
533431122110414
62042334314530
7222346411164
oct42336226326
912832443210
104621675734
111a618a7425
12a8b958a46
13588669390
1431bb40234
151c0b25609
hex113792cd6

4621675734 has 96 divisors (see below), whose sum is σ = 11177607168. Its totient is φ = 1370520000.

The previous prime is 4621675727. The next prime is 4621675781. The reversal of 4621675734 is 4375761264.

4621675734 is a `hidden beast` number, since 4 + 62 + 16 + 7 + 573 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4621675734.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1964659 + ... + 1967009.

It is an arithmetic number, because the mean of its divisors is an integer number (116433408).

Almost surely, 24621675734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4621675734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588803584).

4621675734 is an abundant number, since it is smaller than the sum of its proper divisors (6555931434).

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

4621675734 is a wasteful number, since it uses less digits than its factorization.

4621675734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2671 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 4621675734 is about 67982.9076606760. The cubic root of 4621675734 is about 1665.7116520639.

The spelling of 4621675734 in words is "four billion, six hundred twenty-one million, six hundred seventy-five thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 271 279 403 542 558 806 813 1209 1626 2351 2418 2439 3523 3627 4702 4878 7046 7053 7254 8401 10569 14106 16802 21138 21159 25203 30563 31707 42318 50406 61126 63414 72881 75609 91689 109213 145762 151218 183378 218426 218643 275067 327639 437286 550134 637121 655278 655929 947453 982917 1274242 1311858 1894906 1911363 1965834 2842359 3822726 5684718 5734089 8282573 8527077 11468178 16565146 17054154 19750751 24847719 39501502 49695438 59252253 74543157 118504506 149086314 177756759 256759763 355513518 513519526 770279289 1540558578 2310837867 4621675734