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2135261456 = 24533896473
BaseRepresentation
bin111111101000101…
…1000000100010000
312111210212112001122
41333101120010100
513333111331311
6551514021412
7103625265026
oct17721300420
95453775048
102135261456
119a6332599
124b7117868
132804b5923
14163828716
15c76d00db
hex7f458110

2135261456 has 40 divisors (see below), whose sum is σ = 4226615640. Its totient is φ = 1044632576.

The previous prime is 2135261437. The next prime is 2135261459. The reversal of 2135261456 is 6541625312.

It can be written as a sum of positive squares in 4 ways, for example, as 81721600 + 2053539856 = 9040^2 + 45316^2 .

It is not an unprimeable number, because it can be changed into a prime (2135261459) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 326636 + ... + 333108.

It is an arithmetic number, because the mean of its divisors is an integer number (105665391).

Almost surely, 22135261456 is an apocalyptic number.

It is an amenable number.

2135261456 is a deficient number, since it is larger than the sum of its proper divisors (2091354184).

2135261456 is a wasteful number, since it uses less digits than its factorization.

2135261456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6923 (or 6917 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

The square root of 2135261456 is about 46208.8893612474. The cubic root of 2135261456 is about 1287.7068922681.

Adding to 2135261456 its reverse (6541625312), we get a palindrome (8676886768).

The spelling of 2135261456 in words is "two billion, one hundred thirty-five million, two hundred sixty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 53 106 212 389 424 778 848 1556 3112 6224 6473 12946 20617 25892 41234 51784 82468 103568 164936 329872 343069 686138 1372276 2517997 2744552 5035994 5489104 10071988 20143976 40287952 133453841 266907682 533815364 1067630728 2135261456