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4181253132 = 2237193349739
BaseRepresentation
bin1111100100111000…
…1101110000001100
3101210101202200000010
43321032031300030
532030400100012
61530522433220
7205421031240
oct37116156014
911711680003
104181253132
111856232401
12988362810
13518343aa4
142b9456420
15197129c3c
hexf938dc0c

4181253132 has 96 divisors (see below), whose sum is σ = 11255104000. Its totient is φ = 1183444992.

The previous prime is 4181253091. The next prime is 4181253133. The reversal of 4181253132 is 2313521814.

4181253132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4181253132.

It is not an unprimeable number, because it can be changed into a prime (4181253133) 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, 5657619 + ... + 5658357.

Almost surely, 24181253132 is an apocalyptic number.

4181253132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4181253132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5627552000).

4181253132 is an abundant number, since it is smaller than the sum of its proper divisors (7073850868).

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

4181253132 is a wasteful number, since it uses less digits than its factorization.

4181253132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1293 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 4181253132 is about 64662.6099999064. The cubic root of 4181253132 is about 1611.0245310813.

Adding to 4181253132 its reverse (2313521814), we get a palindrome (6494774946).

The spelling of 4181253132 in words is "four billion, one hundred eighty-one million, two hundred fifty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 193 349 386 579 698 739 772 1047 1158 1351 1396 1478 2094 2217 2316 2443 2702 2956 4053 4188 4434 4886 5173 5404 7329 8106 8868 9772 10346 14658 15519 16212 20692 29316 31038 62076 67357 134714 142627 202071 257911 269428 285254 404142 427881 471499 515822 570508 773733 808284 855762 942998 998389 1031644 1414497 1547466 1711524 1805377 1885996 1996778 2828994 2995167 3094932 3610754 3993556 5416131 5657988 5990334 7221508 10832262 11980668 21664524 49776823 99553646 149330469 199107292 298660938 348437761 597321876 696875522 1045313283 1393751044 2090626566 4181253132