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4121239188 = 2231131631583
BaseRepresentation
bin1111010110100101…
…0001111010010100
3101122012211122100110
43311221101322110
531420014123223
61520540243020
7204061645413
oct36551217224
911565748313
104121239188
111825372000
12970240470
13508a90691
142b14b347a
15191c22d93
hexf5a51e94

4121239188 has 96 divisors (see below), whose sum is σ = 10648737792. Its totient is φ = 1240414560.

The previous prime is 4121239183. The next prime is 4121239207. The reversal of 4121239188 is 8819321214.

It is a super-2 number, since 2×41212391882 = 33969224889413798688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121239181) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2602645 + ... + 2604227.

It is an arithmetic number, because the mean of its divisors is an integer number (110924352).

Almost surely, 24121239188 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 4121239188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5324368896).

4121239188 is an abundant number, since it is smaller than the sum of its proper divisors (6527498604).

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

4121239188 is a wasteful number, since it uses less digits than its factorization.

4121239188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1762 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 4121239188 is about 64196.8783353209. The cubic root of 4121239188 is about 1603.2796255462.

The spelling of 4121239188 in words is "four billion, one hundred twenty-one million, two hundred thirty-nine thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 163 242 326 363 484 489 652 726 978 1331 1452 1583 1793 1956 2662 3166 3586 3993 4749 5324 5379 6332 7172 7986 9498 10758 15972 17413 18996 19723 21516 34826 39446 52239 59169 69652 78892 104478 118338 191543 208956 216953 236676 258029 383086 433906 516058 574629 650859 766172 774087 867812 1032116 1149258 1301718 1548174 2106973 2298516 2603436 2838319 3096348 4213946 5676638 6320919 8427892 8514957 11353276 12641838 17029914 25283676 31221509 34059828 62443018 93664527 124886036 187329054 343436599 374658108 686873198 1030309797 1373746396 2060619594 4121239188