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12049257852 = 2232787742491
BaseRepresentation
bin10110011100011000…
…10001010101111100
31011002201210201102100
423032030101111330
5144134102222402
65311345225100
7604410000432
oct131614212574
934081721370
1012049257852
115123545845
122403332190
1311a0420198
148243a0d52
154a7c5071c
hex2ce31157c

12049257852 has 36 divisors (see below), whose sum is σ = 30462429816. Its totient is φ = 4015814880.

The previous prime is 12049257851. The next prime is 12049257853. The reversal of 12049257852 is 25875294021.

12049257852 is a `hidden beast` number, since 1 + 20 + 4 + 9 + 2 + 578 + 52 = 666.

12049257852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12049257851) and next prime (12049257853).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×120492578522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12049257798 and 12049257807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12049257851) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 262327 + ... + 304817.

It is an arithmetic number, because the mean of its divisors is an integer number (846178606).

Almost surely, 212049257852 is an apocalyptic number.

12049257852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12049257852 is an abundant number, since it is smaller than the sum of its proper divisors (18413171964).

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

12049257852 is a wasteful number, since it uses less digits than its factorization.

12049257852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50378 (or 50373 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 12049257852 in words is "twelve billion, forty-nine million, two hundred fifty-seven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 7877 15754 23631 31508 42491 47262 70893 84982 94524 127473 141786 169964 254946 283572 382419 509892 764838 1529676 334701607 669403214 1004104821 1338806428 2008209642 3012314463 4016419284 6024628926 12049257852