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2104112538 = 234113141929
BaseRepresentation
bin111110101101010…
…0011010110011010
312102122020222210000
41331122203112122
513302123100123
6544442233430
7103066442613
oct17532432632
95378228700
102104112538
1198a797990
124a87b5876
13276bcaa08
1415d63ac0a
15c4acab43
hex7d6a359a

2104112538 has 160 divisors (see below), whose sum is σ = 5444651520. Its totient is φ = 601344000.

The previous prime is 2104112503. The next prime is 2104112539. The reversal of 2104112538 is 8352114012.

2104112538 is a `hidden beast` number, since 2 + 10 + 4 + 112 + 538 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2104112539) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2264458 + ... + 2265386.

It is an arithmetic number, because the mean of its divisors is an integer number (34029072).

Almost surely, 22104112538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104112538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722325760).

2104112538 is an abundant number, since it is smaller than the sum of its proper divisors (3340538982).

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

2104112538 is a wasteful number, since it uses less digits than its factorization.

2104112538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2104112538 is about 45870.6064708109. The cubic root of 2104112538 is about 1281.4145612372.

The spelling of 2104112538 in words is "two billion, one hundred four million, one hundred twelve thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 41 54 62 66 81 82 93 99 123 162 186 198 246 279 297 341 369 451 558 594 682 738 837 891 902 929 1023 1107 1271 1353 1674 1782 1858 2046 2214 2511 2542 2706 2787 3069 3321 3813 4059 5022 5574 6138 6642 7626 8118 8361 9207 10219 11439 12177 13981 16722 18414 20438 22878 24354 25083 27621 27962 28799 30657 34317 36531 38089 41943 50166 55242 57598 61314 68634 73062 75249 76178 83886 86397 91971 102951 114267 125829 150498 172794 183942 205902 228534 251658 259191 275913 316789 342801 377487 418979 518382 551826 633578 685602 754974 777573 827739 837958 950367 1028403 1132461 1180759 1256937 1555146 1655478 1900734 2056806 2264922 2332719 2361518 2513874 2851101 3085209 3542277 3770811 4665438 5702202 6170418 7084554 7541622 8553303 10626831 11312433 12988349 17106606 21253662 22624866 25659909 25976698 31880493 33937299 38965047 51319818 63760986 67874598 77930094 95641479 116895141 191282958 233790282 350685423 701370846 1052056269 2104112538