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1004132333412 = 2232137329391533
BaseRepresentation
bin11101001110010101111…
…00110111011101100100
310112222211201010201020200
432213022330313131210
5112422430334132122
62045143024430500
7132355223002215
oct16471274673544
93488751121220
101004132333412
1135793958517a
12142735a78430
13738c6441b40
14368591a740c
151b1be42b5ac
hexe9caf37764

1004132333412 has 72 divisors (see below), whose sum is σ = 2770916259384. Its totient is φ = 304731403776.

The previous prime is 1004132333389. The next prime is 1004132333437. The reversal of 1004132333412 is 2143332314001.

It is a happy number.

1004132333412 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 1 + 323 + 334 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11112111396 + 993020222016 = 105414^2 + 996504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14661603 + ... + 14729930.

It is an arithmetic number, because the mean of its divisors is an integer number (38484948047).

Almost surely, 21004132333412 is an apocalyptic number.

1004132333412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1004132333412 is an abundant number, since it is smaller than the sum of its proper divisors (1766783925972).

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

1004132333412 is a wasteful number, since it uses less digits than its factorization.

1004132333412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29391629 (or 29391624 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1004132333412 its reverse (2143332314001), we get a palindrome (3147464647413).

The spelling of 1004132333412 in words is "one trillion, four billion, one hundred thirty-two million, three hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 73 78 117 146 156 219 234 292 438 468 657 876 949 1314 1898 2628 2847 3796 5694 8541 11388 17082 34164 29391533 58783066 88174599 117566132 176349198 264523797 352698396 382089929 529047594 764179858 1058095188 1146269787 1528359716 2145581909 2292539574 3438809361 4291163818 4585079148 6436745727 6877618722 8582327636 12873491454 13755237444 19310237181 25746982908 27892564817 38620474362 55785129634 77240948724 83677694451 111570259268 167355388902 251033083353 334710777804 502066166706 1004132333412