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4431013632 = 283623743
BaseRepresentation
bin1000010000001101…
…11110011100000000
3102102210201211000000
410020012332130000
533033314414012
62011404000000
7214542665043
oct41006763400
912383654000
104431013632
111974212141
12a37b30000
13558001476
143006acc5a
151ae012ddc
hex1081be700

4431013632 has 126 divisors (see below), whose sum is σ = 13261570112. Its totient is φ = 1476942336.

The previous prime is 4431013627. The next prime is 4431013649. The reversal of 4431013632 is 2363101344.

4431013632 is a `hidden beast` number, since 4 + 4 + 3 + 10 + 13 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4431013596 and 4431013605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 174753 + ... + 198495.

Almost surely, 24431013632 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 4431013632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6630785056).

4431013632 is an abundant number, since it is smaller than the sum of its proper divisors (8830556480).

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

4431013632 is an frugal number, since it uses more digits than its factorization.

4431013632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23777 (or 23748 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 4431013632 is about 66565.8593574814. The cubic root of 4431013632 is about 1642.4835502199.

Adding to 4431013632 its reverse (2363101344), we get a palindrome (6794114976).

The spelling of 4431013632 in words is "four billion, four hundred thirty-one million, thirteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2304 2592 2916 3456 3888 5184 5832 6912 7776 10368 11664 15552 20736 23328 23743 31104 46656 47486 62208 71229 93312 94972 142458 186624 189944 213687 284916 379888 427374 569832 641061 759776 854748 1139664 1282122 1519552 1709496 1923183 2279328 2564244 3039104 3418992 3846366 4558656 5128488 5769549 6078208 6837984 7692732 9117312 10256976 11539098 13675968 15385464 17308647 18234624 20513952 23078196 27351936 30770928 34617294 41027904 46156392 54703872 61541856 69234588 82055808 92312784 123083712 138469176 164111616 184625568 246167424 276938352 369251136 492334848 553876704 738502272 1107753408 1477004544 2215506816 4431013632