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42432303552 = 2631765919727
BaseRepresentation
bin100111100001001010…
…011001000111000000
311001112011212100201020
4213201022121013000
51143400132203202
631254303305440
73031340425542
oct474112310700
9131464770636
1042432303552
1116aa4a24771
1282825ab280
134002c6b832
1420a7639692
1511852de5bc
hex9e12991c0

42432303552 has 112 divisors (see below), whose sum is σ = 119059269120. Its totient is φ = 13291220992.

The previous prime is 42432303547. The next prime is 42432303619. The reversal of 42432303552 is 25530323424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2141113 + ... + 2160839.

Almost surely, 242432303552 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 42432303552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59529634560).

42432303552 is an abundant number, since it is smaller than the sum of its proper divisors (76626965568).

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

42432303552 is a wasteful number, since it uses less digits than its factorization.

42432303552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20418 (or 20408 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 33.

Adding to 42432303552 its reverse (25530323424), we get a palindrome (67962626976).

The spelling of 42432303552 in words is "forty-two billion, four hundred thirty-two million, three hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 659 816 1088 1318 1632 1977 2636 3264 3954 5272 7908 10544 11203 15816 19727 21088 22406 31632 33609 39454 42176 44812 59181 63264 67218 78908 89624 118362 126528 134436 157816 179248 236724 268872 315632 335359 358496 473448 537744 631264 670718 716992 946896 1006077 1075488 1262528 1341436 1893792 2012154 2150976 2682872 3787584 4024308 5365744 8048616 10731488 13000093 16097232 21462976 26000186 32194464 39000279 52000372 64388928 78000558 104000744 156001116 208001488 221001581 312002232 416002976 442003162 624004464 663004743 832005952 884006324 1248008928 1326009486 1768012648 2496017856 2652018972 3536025296 5304037944 7072050592 10608075888 14144101184 21216151776 42432303552