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2050542144 = 26327508567
BaseRepresentation
bin111101000111000…
…1100101001000000
312021220110100000100
41322032030221000
513144414322034
6535250122400
7101546214660
oct17216145100
95256410010
102050542144
11962528732
12492880400
13268a92461
141564941a0
15c0048099
hex7a38ca40

2050542144 has 84 divisors (see below), whose sum is σ = 6717166144. Its totient is φ = 585868032.

The previous prime is 2050542139. The next prime is 2050542163. The reversal of 2050542144 is 4412450502.

It is a tau number, because it is divible by the number of its divisors (84).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250252 + ... + 258315.

Almost surely, 22050542144 is an apocalyptic number.

2050542144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2050542144 is an abundant number, since it is smaller than the sum of its proper divisors (4666624000).

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

2050542144 is a wasteful number, since it uses less digits than its factorization.

2050542144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508592 (or 508579 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2050542144 is about 45282.9122738368. The cubic root of 2050542144 is about 1270.4460672934.

Adding to 2050542144 its reverse (4412450502), we get a palindrome (6462992646).

The spelling of 2050542144 in words is "two billion, fifty million, five hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 508567 1017134 1525701 2034268 3051402 3559969 4068536 4577103 6102804 7119938 8137072 9154206 10679907 12205608 14239876 16274144 18308412 21359814 24411216 28479752 32039721 32548288 36616824 42719628 48822432 56959504 64079442 73233648 85439256 97644864 113919008 128158884 146467296 170878512 227838016 256317768 292934592 341757024 512635536 683514048 1025271072 2050542144