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29489893632 = 283219016733
BaseRepresentation
bin11011011101101111…
…000001000100000000
32211010012102210222200
4123131233001010000
5440343403044012
621314130433200
72062533650163
oct333557010400
984105383880
1029489893632
1111563304621
125870132800
132a1c7b1c04
1415da7c1ada
15b78e663dc
hex6ddbc1100

29489893632 has 108 divisors (see below), whose sum is σ = 85083995724. Its totient is φ = 9823334400.

The previous prime is 29489893613. The next prime is 29489893633. The reversal of 29489893632 is 23639898492.

29489893632 is a `hidden beast` number, since 2 + 9 + 489 + 8 + 93 + 63 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17960288256 + 11529605376 = 134016^2 + 107376^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 29489893632.

It is not an unprimeable number, because it can be changed into a prime (29489893633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4376538 + ... + 4383270.

Almost surely, 229489893632 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 29489893632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42541997862).

29489893632 is an abundant number, since it is smaller than the sum of its proper divisors (55594102092).

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

29489893632 is a wasteful number, since it uses less digits than its factorization.

29489893632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8656 (or 8639 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 29489893632 in words is "twenty-nine billion, four hundred eighty-nine million, eight hundred ninety-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1901 2304 3802 5703 6733 7604 11406 13466 15208 17109 20199 22812 26932 30416 34218 40398 45624 53864 60597 60832 68436 80796 91248 107728 121194 121664 136872 161592 182496 215456 242388 243328 273744 323184 364992 430912 484776 486656 547488 646368 729984 861824 969552 1094976 1292736 1459968 1723648 1939104 2189952 2585472 3878208 4379904 5170944 7756416 12799433 15512832 25598866 38398299 51197732 76796598 102395464 115194897 153593196 204790928 230389794 307186392 409581856 460779588 614372784 819163712 921559176 1228745568 1638327424 1843118352 2457491136 3276654848 3686236704 4914982272 7372473408 9829964544 14744946816 29489893632