Search a number
-
+
29428455040 = 27567812
BaseRepresentation
bin11011011010000100…
…101001011010000000
32210221220211102002021
4123122010221122000
5440232141030130
621304053531224
72061156512005
oct333204513200
983856742067
1029428455040
1111531660926
125853643b14
132a0cb5020a
1415d258b8ac
15b7387c37a
hex6da129680

29428455040 has 48 divisors (see below), whose sum is σ = 70362776790. Its totient is φ = 11769646080.

The previous prime is 29428455011. The next prime is 29428455053. The reversal of 29428455040 is 4055482492.

It can be written as a sum of positive squares in 3 ways, for example, as 21920579136 + 7507875904 = 148056^2 + 86648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4336450 + ... + 4343230.

Almost surely, 229428455040 is an apocalyptic number.

29428455040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29428455040 is an abundant number, since it is smaller than the sum of its proper divisors (40934321750).

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

29428455040 is an frugal number, since it uses more digits than its factorization.

29428455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13581 (or 6788 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 29428455040 in words is "twenty-nine billion, four hundred twenty-eight million, four hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 6781 13562 27124 33905 54248 67810 108496 135620 216992 271240 433984 542480 867968 1084960 2169920 4339840 45981961 91963922 183927844 229909805 367855688 459819610 735711376 919639220 1471422752 1839278440 2942845504 3678556880 5885691008 7357113760 14714227520 29428455040