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2653384416 = 253163169567
BaseRepresentation
bin1001111000100111…
…0110111011100000
320211220210220010220
42132021312323200
520413231300131
61115143123040
7122516252424
oct23611667340
96756726126
102653384416
111141847a91
12620743480
13333944967
141b257ab84
15107e27e96
hex9e276ee0

2653384416 has 48 divisors (see below), whose sum is σ = 7007906304. Its totient is φ = 879030144.

The previous prime is 2653384411. The next prime is 2653384417. The reversal of 2653384416 is 6144833562.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×26533844162 = 14080897718143322112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2653384411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69136 + ... + 100431.

It is an arithmetic number, because the mean of its divisors is an integer number (145998048).

Almost surely, 22653384416 is an apocalyptic number.

It is an amenable number.

2653384416 is an abundant number, since it is smaller than the sum of its proper divisors (4354521888).

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

2653384416 is a wasteful number, since it uses less digits than its factorization.

2653384416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169743 (or 169735 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 2653384416 is about 51511.0125701291. The cubic root of 2653384416 is about 1384.4163659784.

The spelling of 2653384416 in words is "two billion, six hundred fifty-three million, three hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 652 978 1304 1956 2608 3912 5216 7824 15648 169567 339134 508701 678268 1017402 1356536 2034804 2713072 4069608 5426144 8139216 16278432 27639421 55278842 82918263 110557684 165836526 221115368 331673052 442230736 663346104 884461472 1326692208 2653384416