Search a number
-
+
50112014904 = 23337109304063
BaseRepresentation
bin101110101010111010…
…001010101000111000
311210100101121010012000
4232222322022220320
51310112133434104
635004322221000
73422552045550
oct565272125070
9153311533160
1050112014904
111a285a20556
1298664b4760
13495802c233
1425d556c160
15148461e639
hexbaae8aa38

50112014904 has 128 divisors (see below), whose sum is σ = 160545792000. Its totient is φ = 14186316672.

The previous prime is 50112014903. The next prime is 50112014921. The reversal of 50112014904 is 40941021105.

50112014904 is a `hidden beast` number, since 50 + 1 + 120 + 1 + 490 + 4 = 666.

50112014904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×501120149042 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50112014903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12777 + ... + 316839.

It is an arithmetic number, because the mean of its divisors is an integer number (1254264000).

Almost surely, 250112014904 is an apocalyptic number.

50112014904 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50112014904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80272896000).

50112014904 is an abundant number, since it is smaller than the sum of its proper divisors (110433777096).

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

50112014904 is a wasteful number, since it uses less digits than its factorization.

50112014904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304194 (or 304184 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

It can be divided in two parts, 5011201 and 4904, that added together give a palindrome (5016105).

The spelling of 50112014904 in words is "fifty billion, one hundred twelve million, fourteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 109 126 168 189 216 218 252 327 378 436 504 654 756 763 872 981 1308 1512 1526 1962 2289 2616 2943 3052 3924 4578 5886 6104 6867 7848 9156 11772 13734 18312 20601 23544 27468 41202 54936 82404 164808 304063 608126 912189 1216252 1824378 2128441 2432504 2736567 3648756 4256882 5473134 6385323 7297512 8209701 8513764 10946268 12770646 16419402 17027528 19155969 21892536 25541292 32838804 33142867 38311938 51082584 57467907 65677608 66285734 76623876 99428601 114935814 132571468 153247752 198857202 229871628 232000069 265142936 298285803 397714404 459743256 464000138 596571606 696000207 795428808 894857409 928000276 1193143212 1392000414 1789714818 1856000552 2088000621 2386286424 2784000828 3579429636 4176001242 5568001656 6264001863 7158859272 8352002484 12528003726 16704004968 25056007452 50112014904