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13838148571 = 13194771103163
BaseRepresentation
bin11001110001101000…
…10110001111011011
31022201101220210011011
430320310112033123
5211320031223241
610205051314351
7666631215322
oct147064261733
938641823134
1013838148571
115961301925
12282244b9b7
1313c6c207c0
14953bc50b9
1555ed12281
hex338d163db

13838148571 has 64 divisors (see below), whose sum is σ = 16504750080. Its totient is φ = 11492772480.

The previous prime is 13838148553. The next prime is 13838148581. The reversal of 13838148571 is 17584183831.

It is a cyclic number.

It is not a de Polignac number, because 13838148571 - 25 = 13838148539 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13838148521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84896536 + ... + 84896698.

It is an arithmetic number, because the mean of its divisors is an integer number (257886720).

Almost surely, 213838148571 is an apocalyptic number.

13838148571 is a deficient number, since it is larger than the sum of its proper divisors (2666601509).

13838148571 is a wasteful number, since it uses less digits than its factorization.

13838148571 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416.

The product of its digits is 645120, while the sum is 49.

It can be divided in two parts, 13838 and 148571, that added together give a square (162409 = 4032).

The spelling of 13838148571 in words is "thirteen billion, eight hundred thirty-eight million, one hundred forty-eight thousand, five hundred seventy-one".

Divisors: 1 13 19 47 71 103 163 247 611 893 923 1339 1349 1957 2119 3097 3337 4841 7313 7661 11573 11609 16789 17537 25441 40261 43381 62933 63403 91979 95069 99593 138947 145559 150449 218257 219887 318991 343711 543931 789083 824239 1192019 1195727 1806311 1892267 2858531 4146883 4468243 6530509 7071103 10258079 10334689 14992577 15496247 22648361 56024893 84896617 134350957 194903501 294428693 728323609 1064472967 13838148571