Search a number
-
+
4790016126 = 232759267163
BaseRepresentation
bin1000111011000000…
…11101100001111110
3110100211021000211200
410131200131201332
534302221004001
62111150400330
7226462315410
oct43540354176
913324230750
104790016126
112038926015
12b182000a6
135b44ba18c
143362409b0
151d07c9086
hex11d81d87e

4790016126 has 144 divisors (see below), whose sum is σ = 12320640384. Its totient is φ = 1317168864.

The previous prime is 4790016113. The next prime is 4790016163. The reversal of 4790016126 is 6216100974.

4790016126 is a `hidden beast` number, since 479 + 0 + 0 + 161 + 26 = 666.

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 71 ways as a sum of consecutive naturals, for example, 29386521 + ... + 29386683.

Almost surely, 24790016126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4790016126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6160320192).

4790016126 is an abundant number, since it is smaller than the sum of its proper divisors (7530624258).

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

4790016126 is a wasteful number, since it uses less digits than its factorization.

4790016126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4790016126 is about 69209.9423926938. The cubic root of 4790016126 is about 1685.6949735883.

The spelling of 4790016126 in words is "four billion, seven hundred ninety million, sixteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 67 118 126 134 163 177 201 326 354 402 413 469 489 531 603 826 938 978 1062 1141 1206 1239 1407 1467 2282 2478 2814 2934 3423 3481 3717 3953 4221 6846 6962 7434 7906 8442 9617 10269 10443 10921 11859 19234 20538 20886 21842 23718 24367 27671 28851 31329 32763 35577 48734 55342 57702 62658 65526 67319 71154 73101 76447 83013 86553 98289 134638 146202 152894 166026 173106 196578 201957 219303 229341 233227 249039 403914 438606 458682 466454 498078 567403 605871 644339 688023 699681 1134806 1211742 1288678 1376046 1399362 1632589 1702209 1933017 2099043 3265178 3404418 3866034 3971821 4198086 4510373 4897767 5106627 5799051 7943642 9020746 9795534 10213254 11598102 11915463 13531119 14693301 23830926 27062238 29386602 35746389 38016001 40593357 71492778 76032002 81186714 114048003 228096006 266112007 342144009 532224014 684288018 798336021 1596672042 2395008063 4790016126