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5017430000 = 24541145613
BaseRepresentation
bin1001010110000111…
…11110011111110000
3110221200011212000202
410223003332133300
540233430230000
62145512534332
7235223310542
oct45303763760
913850155022
105017430000
112145232470
12b803b13a8
1361c6522bb
1435851b692
151e574add5
hex12b0fe7f0

5017430000 has 100 divisors (see below), whose sum is σ = 13252326648. Its totient is φ = 1824480000.

The previous prime is 5017429969. The next prime is 5017430101. The reversal of 5017430000 is 347105.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87194 + ... + 132806.

Almost surely, 25017430000 is an apocalyptic number.

5017430000 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 5017430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6626163324).

5017430000 is an abundant number, since it is smaller than the sum of its proper divisors (8234896648).

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

5017430000 is a wasteful number, since it uses less digits than its factorization.

5017430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45652 (or 45631 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 5017430000 is about 70833.8196061740. The cubic root of 5017430000 is about 1711.9606343031.

Adding to 5017430000 its reverse (347105), we get a palindrome (5017777105).

The spelling of 5017430000 in words is "five billion, seventeen million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 45613 55000 91226 110000 182452 228065 364904 456130 501743 729808 912260 1003486 1140325 1824520 2006972 2280650 2508715 3649040 4013944 4561300 5017430 5701625 8027888 9122600 10034860 11403250 12543575 18245200 20069720 22806500 25087150 28508125 40139440 45613000 50174300 57016250 62717875 91226000 100348600 114032500 125435750 200697200 228065000 250871500 313589375 456130000 501743000 627178750 1003486000 1254357500 2508715000 5017430000