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13771542852 = 22321729775949
BaseRepresentation
bin11001101001101100…
…10001000101000100
31022112202120212021200
430310312101011010
5211201003332402
610154311542500
7665162116464
oct146466210504
938482525250
1013771542852
115927749a81
12280408aa30
1313b619cc32
14949007ba4
1555905721c
hex334d91144

13771542852 has 72 divisors (see below), whose sum is σ = 38130183000. Its totient is φ = 4171496448.

The previous prime is 13771542821. The next prime is 13771542853. The reversal of 13771542852 is 25824517731.

13771542852 is a `hidden beast` number, since 1 + 37 + 71 + 542 + 8 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1631028996 + 12140513856 = 40386^2 + 110184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13771542798 and 13771542807.

It is not an unprimeable number, because it can be changed into a prime (13771542853) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370227 + ... + 405722.

It is an arithmetic number, because the mean of its divisors is an integer number (529585875).

Almost surely, 213771542852 is an apocalyptic number.

13771542852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13771542852 is an abundant number, since it is smaller than the sum of its proper divisors (24358640148).

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

13771542852 is a wasteful number, since it uses less digits than its factorization.

13771542852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776005 (or 776000 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The spelling of 13771542852 in words is "thirteen billion, seven hundred seventy-one million, five hundred forty-two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 116 153 174 204 261 306 348 493 522 612 986 1044 1479 1972 2958 4437 5916 8874 17748 775949 1551898 2327847 3103796 4655694 6983541 9311388 13191133 13967082 22502521 26382266 27934164 39573399 45005042 52764532 67507563 79146798 90010084 118720197 135015126 158293596 202522689 237440394 270030252 382542857 405045378 474880788 765085714 810090756 1147628571 1530171428 2295257142 3442885713 4590514284 6885771426 13771542852