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13134612504 = 2331357173727
BaseRepresentation
bin11000011101110001…
…00100100000011000
31020220101002110002210
430032320210200120
5203344430100004
610011200155120
7643326235626
oct141670444030
936811073083
1013134612504
115630167862
122666908aa0
131314243a80
148c85aa516
1551d192089
hex30ee24818

13134612504 has 64 divisors (see below), whose sum is σ = 35424829440. Its totient is φ = 4034286720.

The previous prime is 13134612493. The next prime is 13134612511. The reversal of 13134612504 is 40521643131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141289 + ... + 215015.

It is an arithmetic number, because the mean of its divisors is an integer number (553512960).

Almost surely, 213134612504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13134612504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17712414720).

13134612504 is an abundant number, since it is smaller than the sum of its proper divisors (22290216936).

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

13134612504 is a wasteful number, since it uses less digits than its factorization.

13134612504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74320 (or 74316 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 13134612504 in words is "thirteen billion, one hundred thirty-four million, six hundred twelve thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 571 1142 1713 2284 3426 4568 6852 7423 13704 14846 22269 29692 44538 59384 73727 89076 147454 178152 221181 294908 442362 589816 884724 958451 1769448 1916902 2875353 3833804 5750706 7667608 11501412 23002824 42098117 84196234 126294351 168392468 252588702 336784936 505177404 547275521 1010354808 1094551042 1641826563 2189102084 3283653126 4378204168 6567306252 13134612504