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838138638671 = 172347193383617
BaseRepresentation
bin11000011001001001111…
…01001011000101001111
32222010101022201022202122
430030210331023011033
5102213001442414141
61441011403443155
7114360566611265
oct14144475130517
92863338638678
10838138638671
112a34a8458494
1211652ab264bb
13610615063a9
142c7cd646435
1516c0669e64b
hexc324f4b14f

838138638671 has 64 divisors (see below), whose sum is σ = 954654916608. Its totient is φ = 731553005568.

The previous prime is 838138638641. The next prime is 838138638683. The reversal of 838138638671 is 176836831838.

838138638671 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 838138638671 - 26 = 838138638607 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838138638641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1358409155 + ... + 1358409771.

It is an arithmetic number, because the mean of its divisors is an integer number (14916483072).

Almost surely, 2838138638671 is an apocalyptic number.

838138638671 is a deficient number, since it is larger than the sum of its proper divisors (116516277937).

838138638671 is a wasteful number, since it uses less digits than its factorization.

838138638671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280.

The product of its digits is 27869184, while the sum is 62.

The spelling of 838138638671 in words is "eight hundred thirty-eight billion, one hundred thirty-eight million, six hundred thirty-eight thousand, six hundred seventy-one".

Divisors: 1 17 23 47 193 383 391 617 799 1081 3281 4439 6511 8809 9071 10489 14191 18001 18377 28999 73919 75463 119081 149753 154207 208633 236311 241247 306017 414023 492983 666977 1256623 1700137 2024377 2738863 3474193 3546761 4017287 5435153 5596807 7038391 11106617 11338609 28902329 45608023 46560671 59061281 79906439 92397601 95145719 128726561 188812489 255452191 775336391 1048984529 1358409463 2143577081 2188351537 4342687247 17832736993 36440810377 49302272863 838138638671