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12011865424 = 2413291991357
BaseRepresentation
bin10110010111111011…
…01000010101010000
31011000010102222122121
423023331220111100
5144100014143144
65303531544024
7603444112546
oct131375502520
934003388577
1012011865424
115104426309
1223b28bb014
13119575a4a0
1481d429d96
154a4816384
hex2cbf68550

12011865424 has 40 divisors (see below), whose sum is σ = 25927481160. Its totient is φ = 5352764928.

The previous prime is 12011865409. The next prime is 12011865433. The reversal of 12011865424 is 42456811021.

12011865424 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 4 ways, for example, as 376360000 + 11635505424 = 19400^2 + 107868^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12011865424.

It is a congruent number.

It is an unprimeable number.

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, 989647 + ... + 1001710.

It is an arithmetic number, because the mean of its divisors is an integer number (648187029).

Almost surely, 212011865424 is an apocalyptic number.

It is an amenable number.

12011865424 is an abundant number, since it is smaller than the sum of its proper divisors (13915615736).

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

12011865424 is a wasteful number, since it uses less digits than its factorization.

12011865424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991407 (or 1991401 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 12011865424 in words is "twelve billion, eleven million, eight hundred sixty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 3016 6032 1991357 3982714 7965428 15930856 25887641 31861712 51775282 57749353 103550564 115498706 207101128 230997412 414202256 461994824 750741589 923989648 1501483178 3002966356 6005932712 12011865424