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7152050000 = 2455313457
BaseRepresentation
bin1101010100100101…
…11001111101010000
3200110102211210011202
412222102321331100
5104121411100000
63141405130332
7342143264504
oct65222717520
920412753152
107152050000
113040167027
1214772599a8
1389c971c64
144bbc1a304
152bcd50dd5
hex1aa4b9f50

7152050000 has 120 divisors (see below), whose sum is σ = 17413619832. Its totient is φ = 2845440000.

The previous prime is 7152049999. The next prime is 7152050047. The reversal of 7152050000 is 502517.

It can be written as a sum of positive squares in 12 ways, for example, as 7065411136 + 86638864 = 84056^2 + 9308^2 .

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15649772 + ... + 15650228.

Almost surely, 27152050000 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 7152050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8706809916).

7152050000 is an abundant number, since it is smaller than the sum of its proper divisors (10261569832).

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

7152050000 is an equidigital number, since it uses as much as digits as its factorization.

7152050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 7152050000 is about 84569.7936618034. The cubic root of 7152050000 is about 1926.6826239318.

Adding to 7152050000 its reverse (502517), we get a palindrome (7152552517).

The spelling of 7152050000 in words is "seven billion, one hundred fifty-two million, fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 313 400 457 500 625 626 914 1000 1250 1252 1565 1828 2000 2285 2500 2504 3125 3130 3656 4570 5000 5008 6250 6260 7312 7825 9140 10000 11425 12500 12520 15650 18280 22850 25000 25040 31300 36560 39125 45700 50000 57125 62600 78250 91400 114250 125200 143041 156500 182800 195625 228500 285625 286082 313000 391250 457000 571250 572164 626000 715205 782500 914000 978125 1142500 1144328 1428125 1430410 1565000 1956250 2285000 2288656 2856250 2860820 3130000 3576025 3912500 4570000 5712500 5721640 7152050 7825000 11425000 11443280 14304100 15650000 17880125 22850000 28608200 35760250 57216400 71520500 89400625 143041000 178801250 286082000 357602500 447003125 715205000 894006250 1430410000 1788012500 3576025000 7152050000