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5015101600 = 255214942073
BaseRepresentation
bin1001010101110110…
…00110000010100000
3110221111210120001201
410222323012002200
540232331222400
62145351010544
7235164442315
oct45273060240
913844716051
105015101600
112143992073
12b7b669a54
1361c018552
143580b2d0c
151e543b06a
hex12aec60a0

5015101600 has 72 divisors (see below), whose sum is σ = 12325578300. Its totient is φ = 1992529920.

The previous prime is 5015101589. The next prime is 5015101669. The reversal of 5015101600 is 61015105.

It can be written as a sum of positive squares in 6 ways, for example, as 70761744 + 4944339856 = 8412^2 + 70316^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98164 + ... + 140236.

Almost surely, 25015101600 is an apocalyptic number.

5015101600 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 5015101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6162789150).

5015101600 is an abundant number, since it is smaller than the sum of its proper divisors (7310476700).

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

5015101600 is a wasteful number, since it uses less digits than its factorization.

5015101600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42242 (or 42229 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The square root of 5015101600 is about 70817.3820470653. The cubic root of 5015101600 is about 1711.6957745440.

Adding to 5015101600 its reverse (61015105), we get a palindrome (5076116705).

The spelling of 5015101600 in words is "five billion, fifteen million, one hundred one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 149 160 200 298 400 596 745 800 1192 1490 2384 2980 3725 4768 5960 7450 11920 14900 23840 29800 42073 59600 84146 119200 168292 210365 336584 420730 673168 841460 1051825 1346336 1682920 2103650 3365840 4207300 6268877 6731680 8414600 12537754 16829200 25075508 31344385 33658400 50151016 62688770 100302032 125377540 156721925 200604064 250755080 313443850 501510160 626887700 1003020320 1253775400 2507550800 5015101600