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12148527492 = 22321572149421
BaseRepresentation
bin10110101000001101…
…11101000110000100
31011100122121010202200
423110012331012010
5144340010334432
65325253034500
7610023531333
oct132406750604
934318533680
1012148527492
115174588572
122430625a30
1311b7b6940a
14833641d1a
154b180da7c
hex2d41bd184

12148527492 has 36 divisors (see below), whose sum is σ = 30904389516. Its totient is φ = 4023714240.

The previous prime is 12148527487. The next prime is 12148527493. The reversal of 12148527492 is 29472584121.

12148527492 is a `hidden beast` number, since 1 + 214 + 85 + 274 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1304220996 + 10844306496 = 36114^2 + 104136^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12148527493) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1069059 + ... + 1080362.

Almost surely, 212148527492 is an apocalyptic number.

12148527492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12148527492 is an abundant number, since it is smaller than the sum of its proper divisors (18755862024).

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

12148527492 is a wasteful number, since it uses less digits than its factorization.

12148527492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149588 (or 2149583 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 12148527492 in words is "twelve billion, one hundred forty-eight million, five hundred twenty-seven thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 628 942 1413 1884 2826 5652 2149421 4298842 6448263 8597684 12896526 19344789 25793052 38689578 77379156 337459097 674918194 1012377291 1349836388 2024754582 3037131873 4049509164 6074263746 12148527492