Search a number
-
+
51504334110 = 23353726319603
BaseRepresentation
bin101111111101111001…
…011100010100011110
311220221102111021002000
4233331321130110132
51320440102142420
635354420343130
73502216421325
oct577571342436
9156842437060
1051504334110
111a92a943589
129b94844aa6
134b1a61b958
1426c84410bc
151516998690
hexbfde5c51e

51504334110 has 128 divisors (see below), whose sum is σ = 141600476160. Its totient is φ = 13311796608.

The previous prime is 51504334099. The next prime is 51504334129. The reversal of 51504334110 is 1143340515.

It is a happy number.

51504334110 is a `hidden beast` number, since 515 + 0 + 4 + 3 + 34 + 110 = 666.

It is a super-2 number, since 2×515043341102 (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 Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2617569 + ... + 2637171.

It is an arithmetic number, because the mean of its divisors is an integer number (1106253720).

Almost surely, 251504334110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51504334110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70800238080).

51504334110 is an abundant number, since it is smaller than the sum of its proper divisors (90096142050).

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

51504334110 is a wasteful number, since it uses less digits than its factorization.

51504334110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19919 (or 19913 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 51504334110 its reverse (1143340515), we get a palindrome (52647674625).

The spelling of 51504334110 in words is "fifty-one billion, five hundred four million, three hundred thirty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 263 270 333 370 526 555 666 789 999 1110 1315 1578 1665 1998 2367 2630 3330 3945 4734 4995 7101 7890 9731 9990 11835 14202 19462 19603 23670 29193 35505 39206 48655 58386 58809 71010 87579 97310 98015 117618 145965 175158 176427 196030 262737 291930 294045 352854 437895 525474 529281 588090 725311 875790 882135 1058562 1313685 1450622 1764270 2175933 2627370 2646405 3626555 4351866 5155589 5292810 6527799 7253110 10311178 10879665 13055598 15466767 19583397 21759330 25777945 30933534 32638995 39166794 46400301 51555890 65277990 77333835 92800602 97916985 139200903 154667670 190756793 195833970 232001505 278401806 381513586 464003010 572270379 696004515 953783965 1144540758 1392009030 1716811137 1907567930 2861351895 3433622274 5150433411 5722703790 8584055685 10300866822 17168111370 25752167055 51504334110