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11478014460 = 22325115796977
BaseRepresentation
bin10101011000010010…
…01001100111111100
31002121220220112210200
422230021021213330
5142001332430320
65134541403500
7554302341003
oct125411114774
932556815720
1011478014460
114960049170
122283b69590
13110bc82643
147ac581c3a
15472a13290
hex2ac2499fc

11478014460 has 72 divisors (see below), whose sum is σ = 37981799856. Its totient is φ = 2782548480.

The previous prime is 11478014453. The next prime is 11478014477. The reversal of 11478014460 is 6441087411.

11478014460 is a `hidden beast` number, since 114 + 7 + 80 + 1 + 4 + 460 = 666.

11478014460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 2896509 + ... + 2900468.

It is an arithmetic number, because the mean of its divisors is an integer number (527524998).

Almost surely, 211478014460 is an apocalyptic number.

11478014460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11478014460 is an abundant number, since it is smaller than the sum of its proper divisors (26503785396).

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

11478014460 is a wasteful number, since it uses less digits than its factorization.

11478014460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5797003 (or 5796998 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 11478014460 in words is "eleven billion, four hundred seventy-eight million, fourteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 5796977 11593954 17390931 23187908 28984885 34781862 52172793 57969770 63766747 69563724 86954655 104345586 115939540 127533494 173909310 191300241 208691172 255066988 260863965 318833735 347818620 382600482 521727930 573900723 637667470 765200964 956501205 1043455860 1147801446 1275334940 1913002410 2295602892 2869503615 3826004820 5739007230 11478014460