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1006463412 = 2232149187633
BaseRepresentation
bin111011111111010…
…110100110110100
32121010211122020200
4323333112212310
54030123312122
6243512000500
733640540443
oct7377264664
92533748220
101006463412
11477138949
12241090130
131306910a6
1497950d5a
155d55b5ac
hex3bfd69b4

1006463412 has 36 divisors (see below), whose sum is σ = 2561204100. Its totient is φ = 333234432.

The previous prime is 1006463401. The next prime is 1006463413. The reversal of 1006463412 is 2143646001.

1006463412 is a `hidden beast` number, since 1 + 0 + 0 + 646 + 3 + 4 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 649026576 + 357436836 = 25476^2 + 18906^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006463413) 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, 88453 + ... + 99180.

Almost surely, 21006463412 is an apocalyptic number.

1006463412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006463412 is an abundant number, since it is smaller than the sum of its proper divisors (1554740688).

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

1006463412 is a wasteful number, since it uses less digits than its factorization.

1006463412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187792 (or 187787 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1006463412 is about 31724.8075171466. The cubic root of 1006463412 is about 1002.1498455188.

The spelling of 1006463412 in words is "one billion, six million, four hundred sixty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 894 1341 1788 2682 5364 187633 375266 562899 750532 1125798 1688697 2251596 3377394 6754788 27957317 55914634 83871951 111829268 167743902 251615853 335487804 503231706 1006463412