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43354523648 = 2114321072
BaseRepresentation
bin101000011000001000…
…011000100000000000
311010220110011222212002
4220120020120200000
51202242224224043
631530005523132
73063236241062
oct503010304000
9133813158762
1043354523648
1117428553337
12849b4134a8
13411c044cb7
142153cdb732
1511db259bb8
hexa18218800

43354523648 has 108 divisors (see below), whose sum is σ = 89587957095. Its totient is φ = 20975259648.

The previous prime is 43354523567. The next prime is 43354523711. The reversal of 43354523648 is 84632545334.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 21677261824 + 21677261824 = 147232^2 + 147232^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=147232.

It is a super-2 number, since 2×433545236482 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 405182411 + ... + 405182517.

Almost surely, 243354523648 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 43354523648

43354523648 is an abundant number, since it is smaller than the sum of its proper divisors (46233433447).

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

43354523648 is an frugal number, since it uses more digits than its factorization.

43354523648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 152 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 47.

The spelling of 43354523648 in words is "forty-three billion, three hundred fifty-four million, five hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 107 128 172 214 256 344 428 512 688 856 1024 1376 1712 1849 2048 2752 3424 3698 4601 5504 6848 7396 9202 11008 11449 13696 14792 18404 22016 22898 27392 29584 36808 44032 45796 54784 59168 73616 88064 91592 109568 118336 147232 183184 197843 219136 236672 294464 366368 395686 473344 492307 588928 732736 791372 946688 984614 1177856 1465472 1582744 1893376 1969228 2355712 2930944 3165488 3786752 3938456 4711424 5861888 6330976 7876912 9422848 11723776 12661952 15753824 21169201 23447552 25323904 31507648 42338402 50647808 63015296 84676804 101295616 126030592 169353608 202591232 252061184 338707216 405182464 504122368 677414432 1008244736 1354828864 2709657728 5419315456 10838630912 21677261824 43354523648