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11355250000 = 245653857
BaseRepresentation
bin10101001001101001…
…10101110101010000
31002022100220110121211
422210310311311100
5141223421000000
65114434225504
7551252014063
oct124464656520
932270813554
1011355250000
1148a7819436
12224aa25294
1310bc6cb353
1479a1468da
15466d637ba
hex2a4d35d50

11355250000 has 140 divisors (see below), whose sum is σ = 28052219052. Its totient is φ = 4451200000.

The previous prime is 11355249989. The next prime is 11355250007. The reversal of 11355250000 is 5255311.

It can be written as a sum of positive squares in 14 ways, for example, as 11320108816 + 35141184 = 106396^2 + 5928^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11355250007) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13249572 + ... + 13250428.

Almost surely, 211355250000 is an apocalyptic number.

11355250000 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 11355250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14026109526).

11355250000 is an abundant number, since it is smaller than the sum of its proper divisors (16696969052).

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

11355250000 is an frugal number, since it uses more digits than its factorization.

11355250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The spelling of 11355250000 in words is "eleven billion, three hundred fifty-five million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 625 848 857 1000 1060 1250 1325 1714 2000 2120 2500 2650 3125 3428 4240 4285 5000 5300 6250 6625 6856 8570 10000 10600 12500 13250 13712 15625 17140 21200 21425 25000 26500 31250 33125 34280 42850 45421 50000 53000 62500 66250 68560 85700 90842 106000 107125 125000 132500 165625 171400 181684 214250 227105 250000 265000 331250 342800 363368 428500 454210 530000 535625 662500 726736 828125 857000 908420 1071250 1135525 1325000 1656250 1714000 1816840 2142500 2271050 2650000 2678125 3312500 3633680 4285000 4542100 5356250 5677625 6625000 8570000 9084200 10712500 11355250 13250000 13390625 18168400 21425000 22710500 26781250 28388125 42850000 45421000 53562500 56776250 90842000 107125000 113552500 141940625 214250000 227105000 283881250 454210000 567762500 709703125 1135525000 1419406250 2271050000 2838812500 5677625000 11355250000