Search a number
-
+
29200418546 = 2131926151001
BaseRepresentation
bin11011001100011110…
…110000011011110010
32210101000201221211012
4123030132300123302
5434300301343141
621225310150522
72052420314405
oct331436603362
983330657735
1029200418546
1111424969712
1257ab1b2442
1329a482a890
1415b018bd3c
15b5d835ceb
hex6cc7b06f2

29200418546 has 48 divisors (see below), whose sum is σ = 50600308248. Its totient is φ = 12558240000.

The previous prime is 29200418503. The next prime is 29200418549. The reversal of 29200418546 is 64581400292.

It can be written as a sum of positive squares in 4 ways, for example, as 16355596321 + 12844822225 = 127889^2 + 113335^2 .

It is not an unprimeable number, because it can be changed into a prime (29200418549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 547046 + ... + 598046.

Almost surely, 229200418546 is an apocalyptic number.

29200418546 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

29200418546 is a deficient number, since it is larger than the sum of its proper divisors (21399889702).

29200418546 is a wasteful number, since it uses less digits than its factorization.

29200418546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51115 (or 51096 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 29200418546 in words is "twenty-nine billion, two hundred million, four hundred eighteen thousand, five hundred forty-six".

Divisors: 1 2 13 19 26 38 61 122 247 361 494 722 793 1159 1586 2318 4693 9386 15067 22021 30134 44042 51001 102002 286273 572546 663013 969019 1326026 1938038 3111061 6222122 12597247 18411361 25194494 36822722 40443793 59110159 80887586 118220318 239347693 478695386 768432067 1123093021 1536864134 2246186042 14600209273 29200418546