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5376536838 = 236291011259
BaseRepresentation
bin1010000000111011…
…10111000100000110
3111212200220101000000
411000131313010012
542002343134323
62245301502130
7250143544341
oct50035670406
914780811000
105376536838
112309a07782
121060711946
13678b7665a
143900b9458
15217032e43
hex140777106

5376536838 has 112 divisors (see below), whose sum is σ = 12642512400. Its totient is φ = 1711886400.

The previous prime is 5376536831. The next prime is 5376536843. The reversal of 5376536838 is 8386356735.

It is a happy number.

5376536838 is a `hidden beast` number, since 5 + 3 + 76 + 536 + 8 + 38 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5376536831) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4269853 + ... + 4271111.

It is an arithmetic number, because the mean of its divisors is an integer number (112879575).

Almost surely, 25376536838 is an apocalyptic number.

5376536838 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5376536838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6321256200).

5376536838 is an abundant number, since it is smaller than the sum of its proper divisors (7265975562).

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

5376536838 is a wasteful number, since it uses less digits than its factorization.

5376536838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1394 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The square root of 5376536838 is about 73324.8718921486. The cubic root of 5376536838 is about 1751.8659648352.

The spelling of 5376536838 in words is "five billion, three hundred seventy-six million, five hundred thirty-six thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 101 162 174 202 243 261 303 486 522 606 729 783 909 1259 1458 1566 1818 2349 2518 2727 2929 3777 4698 5454 5858 7047 7554 8181 8787 11331 14094 16362 17574 21141 22662 24543 26361 33993 36511 42282 49086 52722 67986 73022 73629 79083 101979 109533 127159 147258 158166 203958 219066 237249 254318 305937 328599 381477 474498 611874 657198 711747 762954 917811 985797 1144431 1423494 1835622 1971594 2135241 2288862 2957391 3433293 3687611 4270482 5914782 6866586 7375222 8872173 10299879 11062833 17744346 20599758 22125666 26616519 30899637 33188499 53233038 61799274 66376998 92698911 99565497 185397822 199130994 298696491 597392982 896089473 1792178946 2688268419 5376536838