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5061600224 = 25416771811
BaseRepresentation
bin1001011011011000…
…11110001111100000
3111001202021221011222
410231230132033200
540331232201344
62154131354212
7236300614652
oct45554361740
914052257158
105061600224
11216816118a
12b93152968
13628849025
143603386d2
151e95735ee
hex12db1e3e0

5061600224 has 96 divisors (see below), whose sum is σ = 10519310592. Its totient is φ = 2395008000.

The previous prime is 5061600221. The next prime is 5061600227. The reversal of 5061600224 is 4220061605.

It is an interprime number because it is at equal distance from previous prime (5061600221) and next prime (5061600227).

It is a junction number, because it is equal to n+sod(n) for n = 5061600193 and 5061600202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5061600221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6240779 + ... + 6241589.

It is an arithmetic number, because the mean of its divisors is an integer number (109576152).

Almost surely, 25061600224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5061600224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5259655296).

5061600224 is an abundant number, since it is smaller than the sum of its proper divisors (5457710368).

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

5061600224 is a wasteful number, since it uses less digits than its factorization.

5061600224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 5061600224 is about 71144.9240916033. The cubic root of 5061600224 is about 1716.9696307506.

Adding to 5061600224 its reverse (4220061605), we get a palindrome (9281661829).

The spelling of 5061600224 in words is "five billion, sixty-one million, six hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 67 71 82 134 142 164 268 284 328 536 568 656 811 1072 1136 1312 1622 2144 2272 2747 2911 3244 4757 5494 5822 6488 9514 10988 11644 12976 19028 21976 23288 25952 33251 38056 43952 46576 54337 57581 66502 76112 87904 93152 108674 115162 133004 152224 195037 217348 230324 266008 390074 434696 460648 532016 780148 869392 921296 1064032 1560296 1738784 1842592 2227817 2360821 3120592 3857927 4455634 4721642 6241184 7715854 8911268 9443284 15431708 17822536 18886568 30863416 35645072 37773136 61726832 71290144 75546272 123453664 158175007 316350014 632700028 1265400056 2530800112 5061600224