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5145202530 = 23251313213329
BaseRepresentation
bin1001100101010110…
…11000111101100010
3111021120121100222200
410302223120331202
541014132440110
62210315314030
7241334333316
oct46253307542
914246540880
105145202530
1122003728a6
12bb714b916
1363cc6ac50
1436b49bb46
15201a896c0
hex132ad8f62

5145202530 has 96 divisors (see below), whose sum is σ = 14421803760. Its totient is φ = 1265172480.

The previous prime is 5145202501. The next prime is 5145202547. The reversal of 5145202530 is 352025415.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2228878521 + 2916324009 = 47211^2 + 54003^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5145202494 and 5145202503.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1543906 + ... + 1547234.

Almost surely, 25145202530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5145202530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7210901880).

5145202530 is an abundant number, since it is smaller than the sum of its proper divisors (9276601230).

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

5145202530 is a wasteful number, since it uses less digits than its factorization.

5145202530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4676 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5145202530 is about 71730.0671266938. The cubic root of 5145202530 is about 1726.3711039759.

Adding to 5145202530 its reverse (352025415), we get a palindrome (5497227945).

The spelling of 5145202530 in words is "five billion, one hundred forty-five million, two hundred two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 1321 2642 3329 3963 6605 6658 7926 9987 11889 13210 16645 17173 19815 19974 23778 29961 33290 34346 39630 43277 49935 51519 59445 59922 85865 86554 99870 103038 118890 129831 149805 154557 171730 216385 257595 259662 299610 309114 389493 432770 515190 649155 772785 778986 1298310 1545570 1947465 3894930 4397609 8795218 13192827 21988045 26385654 39578481 43976090 57168917 65964135 79156962 114337834 131928270 171506751 197892405 285844585 343013502 395784810 514520253 571689170 857533755 1029040506 1715067510 2572601265 5145202530