Search a number
-
+
51542825510 = 25111923533677
BaseRepresentation
bin110000000000001100…
…010001101000100110
311221001002220211100102
4300000030101220212
51321024430404020
635402313344102
73503164534211
oct600014215046
9157032824312
1051542825510
111a94a643760
129ba5708032
134b255a7927
1426cd5c0778
15151a04d475
hexc00311a26

51542825510 has 96 divisors (see below), whose sum is σ = 107150379552. Its totient is φ = 17701263360.

The previous prime is 51542825483. The next prime is 51542825513. The reversal of 51542825510 is 1552824515.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51542825513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14015792 + ... + 14019468.

It is an arithmetic number, because the mean of its divisors is an integer number (1116149787).

Almost surely, 251542825510 is an apocalyptic number.

51542825510 is an abundant number, since it is smaller than the sum of its proper divisors (55607554042).

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

51542825510 is a wasteful number, since it uses less digits than its factorization.

51542825510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4086 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 38.

The spelling of 51542825510 in words is "fifty-one billion, five hundred forty-two million, eight hundred twenty-five thousand, five hundred ten".

Divisors: 1 2 5 10 11 19 22 38 55 95 110 190 209 353 361 418 706 722 1045 1765 1805 2090 3530 3610 3677 3883 3971 6707 7354 7766 7942 13414 18385 19415 19855 33535 36770 38830 39710 40447 67070 69863 73777 80894 127433 139726 147554 202235 254866 349315 368885 404470 637165 698630 737770 768493 1274330 1297981 1327397 1401763 1536986 2595962 2654794 2803526 3842465 6489905 6636985 7008815 7684930 12979810 13273970 14017630 14277791 14601367 24661639 28555582 29202734 49323278 71388955 73006835 123308195 142777910 146013670 246616390 271278029 468571141 542556058 937142282 1356390145 2342855705 2712780290 4685711410 5154282551 10308565102 25771412755 51542825510