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2153408680 = 23553835217
BaseRepresentation
bin1000000001011010…
…0110100010101000
312120002000111101001
42000112212202220
513402233034210
6553403004344
7104235446263
oct20026464250
95502014331
102153408680
11a055a78a5
125012096b4
1328419a927
14165dcdcda
15c90b703a
hex805a68a8

2153408680 has 16 divisors (see below), whose sum is σ = 4845169620. Its totient is φ = 861363456.

The previous prime is 2153408671. The next prime is 2153408693. The reversal of 2153408680 is 868043512.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2151660996 + 1747684 = 46386^2 + 1322^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26917569 + ... + 26917648.

Almost surely, 22153408680 is an apocalyptic number.

2153408680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2153408680 is an abundant number, since it is smaller than the sum of its proper divisors (2691760940).

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

2153408680 is a wasteful number, since it uses less digits than its factorization.

2153408680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53835228 (or 53835224 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 2153408680 is about 46404.8346619186. The cubic root of 2153408680 is about 1291.3446068414.

The spelling of 2153408680 in words is "two billion, one hundred fifty-three million, four hundred eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 53835217 107670434 215340868 269176085 430681736 538352170 1076704340 2153408680