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2138838471 = 327113231109
BaseRepresentation
bin111111101111100…
…0001010111000111
312112001121020210200
41333133001113013
513340020312341
6552122421543
7104000553450
oct17737012707
95461536720
102138838471
119a8356000
124b83618b3
13281168ac3
141640ba127
15c7b89db6
hex7f7c15c7

2138838471 has 96 divisors (see below), whose sum is σ = 4056099840. Its totient is φ = 1061818560.

The previous prime is 2138838463. The next prime is 2138838491. The reversal of 2138838471 is 1748388312.

It is not a de Polignac number, because 2138838471 - 23 = 2138838463 is a prime.

It is a super-3 number, since 3×21388384713 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138838491) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1928065 + ... + 1929173.

It is an arithmetic number, because the mean of its divisors is an integer number (42251040).

Almost surely, 22138838471 is an apocalyptic number.

2138838471 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2138838471 is a deficient number, since it is larger than the sum of its proper divisors (1917261369).

2138838471 is a wasteful number, since it uses less digits than its factorization.

2138838471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1153 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2138838471 is about 46247.5780014478. The cubic root of 2138838471 is about 1288.4255516712.

The spelling of 2138838471 in words is "two billion, one hundred thirty-eight million, eight hundred thirty-eight thousand, four hundred seventy-one".

Divisors: 1 3 7 9 11 21 23 33 63 69 77 99 121 161 207 231 253 363 483 693 759 847 1089 1109 1331 1449 1771 2277 2541 2783 3327 3993 5313 7623 7763 8349 9317 9981 11979 12199 15939 19481 23289 25047 25507 27951 30613 36597 58443 69867 76521 83853 85393 91839 109791 134189 175329 178549 214291 229563 256179 275517 280577 402567 535647 642873 768537 841731 939323 1207701 1476079 1606941 1928619 1964039 2525193 2817969 3086347 4428237 5892117 8453907 9259041 10332553 13284711 17676351 21604429 27777123 30997659 33949817 64813287 92992977 101849451 194439861 237648719 305548353 712946157 2138838471