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13837555904 = 2619101307367
BaseRepresentation
bin11001110001100100…
…00101100011000000
31022201100210200011112
430320302011203000
5211314403242104
610205030502452
7666623166404
oct147062054300
938640720145
1013837555904
115960a37617
122822204a28
1313c6a73b03
14953aad104
1555ec4686e
hex338c858c0

13837555904 has 112 divisors (see below), whose sum is σ = 29365163520. Its totient is φ = 6450969600.

The previous prime is 13837555877. The next prime is 13837555937. The reversal of 13837555904 is 40955573831.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

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, 37704329 + ... + 37704695.

It is an arithmetic number, because the mean of its divisors is an integer number (262188960).

Almost surely, 213837555904 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 13837555904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14682581760).

13837555904 is an abundant number, since it is smaller than the sum of its proper divisors (15527607616).

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

13837555904 is a wasteful number, since it uses less digits than its factorization.

13837555904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 50.

The spelling of 13837555904 in words is "thirteen billion, eight hundred thirty-seven million, five hundred fifty-five thousand, nine hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 101 152 202 304 307 367 404 608 614 734 808 1216 1228 1468 1616 1919 2456 2936 3232 3838 4912 5833 5872 6464 6973 7676 9824 11666 11744 13946 15352 19648 23332 23488 27892 30704 31007 37067 46664 55784 61408 62014 74134 93328 111568 112669 122816 124028 148268 186656 223136 225338 248056 296536 373312 446272 450676 496112 589133 593072 704273 901352 992224 1178266 1186144 1408546 1802704 1984448 2140711 2356532 2372288 2817092 3605408 4281422 4713064 5634184 7210816 8562844 9426128 11268368 11379569 17125688 18852256 22536736 22759138 34251376 37704512 45073472 45518276 68502752 91036552 137005504 182073104 216211811 364146208 432423622 728292416 864847244 1729694488 3459388976 6918777952 13837555904