Search a number
-
+
51542000000 = 275625771
BaseRepresentation
bin110000000000001001…
…001000000110000000
311221001001100212221222
4300000021020012000
51321024223000000
635402243534212
73503154525401
oct600011100600
9157031325858
1051542000000
111a94a12a517
129ba538a368
134b25378c6a
1426cd4479a8
151519e38a85
hexc00248180

51542000000 has 112 divisors (see below), whose sum is σ = 128354997660. Its totient is φ = 20616000000.

The previous prime is 51541999969. The next prime is 51542000071. The reversal of 51542000000 is 24515.

It is a super-3 number, since 3×515420000003 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1987115 + ... + 2012885.

Almost surely, 251542000000 is an apocalyptic number.

51542000000 is a gapful number since it is divisible by the number (50) 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 51542000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64177498830).

51542000000 is an abundant number, since it is smaller than the sum of its proper divisors (76812997660).

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

51542000000 is an frugal number, since it uses more digits than its factorization.

51542000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25815 (or 25778 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

Adding to 51542000000 its reverse (24515), we get a palindrome (51542024515).

The spelling of 51542000000 in words is "fifty-one billion, five hundred forty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 25771 31250 40000 50000 51542 62500 80000 100000 103084 125000 128855 200000 206168 250000 257710 400000 412336 500000 515420 644275 824672 1000000 1030840 1288550 1649344 2000000 2061680 2577100 3221375 3298688 4123360 5154200 6442750 8246720 10308400 12885500 16106875 16493440 20616800 25771000 32213750 41233600 51542000 64427500 80534375 82467200 103084000 128855000 161068750 206168000 257710000 322137500 402671875 412336000 515420000 644275000 805343750 1030840000 1288550000 1610687500 2061680000 2577100000 3221375000 5154200000 6442750000 10308400000 12885500000 25771000000 51542000000