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1534145004 = 2232737916063
BaseRepresentation
bin101101101110001…
…0011000111101100
310221220202122022100
41123130103013230
511120220120004
6412122015100
753006005650
oct13334230754
93856678270
101534145004
11717a91937
12369947490
131b5ab8b12
14107a70a60
158ea41739
hex5b7131ec

1534145004 has 72 divisors (see below), whose sum is σ = 4443944960. Its totient is φ = 437143392.

The previous prime is 1534144993. The next prime is 1534145009. The reversal of 1534145004 is 4005414351.

It is a happy number.

1534145004 is a `hidden beast` number, since 153 + 4 + 1 + 4 + 500 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (1534145009) 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 23 ways as a sum of consecutive naturals, for example, 87477 + ... + 103539.

Almost surely, 21534145004 is an apocalyptic number.

1534145004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1534145004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221972480).

1534145004 is an abundant number, since it is smaller than the sum of its proper divisors (2909799956).

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

1534145004 is a wasteful number, since it uses less digits than its factorization.

1534145004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16459 (or 16454 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1534145004 is about 39168.1631430426. The cubic root of 1534145004 is about 1153.3349956726.

Adding to 1534145004 its reverse (4005414351), we get a palindrome (5539559355).

The spelling of 1534145004 in words is "one billion, five hundred thirty-four million, one hundred forty-five thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 379 758 1137 1516 2274 2653 3411 4548 5306 6822 7959 10612 13644 15918 16063 23877 31836 32126 47754 48189 64252 95508 96378 112441 144567 192756 224882 289134 337323 449764 578268 674646 1011969 1349292 2023938 4047876 6087877 12175754 18263631 24351508 36527262 42615139 54790893 73054524 85230278 109581786 127845417 170460556 219163572 255690834 383536251 511381668 767072502 1534145004