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10052150000 = 2455238741
BaseRepresentation
bin10010101110010011…
…11010001011110000
3221221112220010110212
421113021322023300
5131041322300000
64341244243252
7504046602524
oct112711721360
927845803425
1010052150000
1142991a4092
121b46540528
13c42749369
146b5059d84
153dc75ec35
hex25727a2f0

10052150000 has 120 divisors (see below), whose sum is σ = 25404811488. Its totient is φ = 3845600000.

The previous prime is 10052149901. The next prime is 10052150039. The reversal of 10052150000 is 5125001.

10052150000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1145630 + ... + 1154370.

Almost surely, 210052150000 is an apocalyptic number.

10052150000 is a gapful number since it is divisible by the number (10) 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 10052150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12702405744).

10052150000 is an abundant number, since it is smaller than the sum of its proper divisors (15352661488).

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

10052150000 is an frugal number, since it uses more digits than its factorization.

10052150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8797 (or 8771 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

Adding to 10052150000 its reverse (5125001), we get a palindrome (10057275001).

The spelling of 10052150000 in words is "ten billion, fifty-two million, one hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 625 920 1000 1150 1250 1840 2000 2300 2500 2875 3125 4600 5000 5750 6250 8741 9200 10000 11500 12500 14375 17482 23000 25000 28750 34964 43705 46000 50000 57500 69928 71875 87410 115000 139856 143750 174820 201043 218525 230000 287500 349640 402086 437050 575000 699280 804172 874100 1005215 1092625 1150000 1608344 1748200 2010430 2185250 3216688 3496400 4020860 4370500 5026075 5463125 8041720 8741000 10052150 10926250 16083440 17482000 20104300 21852500 25130375 27315625 40208600 43705000 50260750 54631250 80417200 87410000 100521500 109262500 125651875 201043000 218525000 251303750 402086000 437050000 502607500 628259375 1005215000 1256518750 2010430000 2513037500 5026075000 10052150000