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43728229480 = 23513237174829
BaseRepresentation
bin101000101110011001…
…111101010001101000
311011212111101012212211
4220232121331101220
51204023411320410
632031035414504
73105424550335
oct505631752150
9134774335784
1043728229480
11175aa49a031
1285845b4434
13417b5ab300
14218b7b998c
15120de7768a
hexa2e67d468

43728229480 has 96 divisors (see below), whose sum is σ = 109419103800. Its totient is φ = 15709344768.

The previous prime is 43728229477. The next prime is 43728229499. The reversal of 43728229480 is 8492282734.

43728229480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 3173519556 + 40554709924 = 56334^2 + 201382^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162706 + ... + 337534.

Almost surely, 243728229480 is an apocalyptic number.

43728229480 is a gapful number since it is divisible by the number (40) 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 43728229480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54709551900).

43728229480 is an abundant number, since it is smaller than the sum of its proper divisors (65690874320).

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

43728229480 is a wasteful number, since it uses less digits than its factorization.

43728229480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174903 (or 174886 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The spelling of 43728229480 in words is "forty-three billion, seven hundred twenty-eight million, two hundred twenty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 169 185 260 296 338 370 481 520 676 740 845 962 1352 1480 1690 1924 2405 3380 3848 4810 6253 6760 9620 12506 19240 25012 31265 50024 62530 125060 174829 250120 349658 699316 874145 1398632 1748290 2272777 3496580 4545554 6468673 6993160 9091108 11363885 12937346 18182216 22727770 25874692 29546101 32343365 45455540 51749384 59092202 64686730 84092749 90911080 118184404 129373460 147730505 168185498 236368808 258746920 295461010 336370996 420463745 590922020 672741992 840927490 1093205737 1181844040 1681854980 2186411474 3363709960 4372822948 5466028685 8745645896 10932057370 21864114740 43728229480