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2469013335680 = 2753857833337
BaseRepresentation
bin100011111011011100101…
…010011010111010000000
322202000221210011220211112
4203323130222122322000
5310423014403220210
65130125444302452
7343244311036253
oct43733452327200
98660853156745
102469013335680
1187211472a7a1
1233a6176a1a28
1314ba99a9bac8
14877025cd09a
154435858bd05
hex23edca9ae80

2469013335680 has 32 divisors (see below), whose sum is σ = 5902485007140. Its totient is φ = 987605334016.

The previous prime is 2469013335653. The next prime is 2469013335689. The reversal of 2469013335680 is 865333109642.

2469013335680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2250984107584 + 218029228096 = 1500328^2 + 466936^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×24690133356802 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2469013335689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1928916029 + ... + 1928917308.

Almost surely, 22469013335680 is an apocalyptic number.

2469013335680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2469013335680 is an abundant number, since it is smaller than the sum of its proper divisors (3433471671460).

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

2469013335680 is an equidigital number, since it uses as much as digits as its factorization.

2469013335680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3857833356 (or 3857833344 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 50.

The spelling of 2469013335680 in words is "two trillion, four hundred sixty-nine billion, thirteen million, three hundred thirty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3857833337 7715666674 15431333348 19289166685 30862666696 38578333370 61725333392 77156666740 123450666784 154313333480 246901333568 308626666960 493802667136 617253333920 1234506667840 2469013335680