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13540250000 = 2456411321
BaseRepresentation
bin11001001110000111…
…11101000110010000
31021221122100222010202
430213003331012100
5210212301000000
610115330314332
7656353140344
oct144703750620
937848328122
1013540250000
115819133262
12275a7289a8
13137a2aa364
149263db624
15543abadd5
hex3270fd190

13540250000 has 140 divisors (see below), whose sum is σ = 33617616564. Its totient is φ = 5280000000.

The previous prime is 13540249999. The next prime is 13540250033. The reversal of 13540250000 is 5204531.

It can be written as a sum of positive squares in 14 ways, for example, as 10946181376 + 2594068624 = 104624^2 + 50932^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10249340 + ... + 10250660.

Almost surely, 213540250000 is an apocalyptic number.

13540250000 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 13540250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16808808282).

13540250000 is an abundant number, since it is smaller than the sum of its proper divisors (20077366564).

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

13540250000 is an frugal number, since it uses more digits than its factorization.

13540250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 13540250000 its reverse (5204531), we get a palindrome (13545454531).

The spelling of 13540250000 in words is "thirteen billion, five hundred forty million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 625 656 820 1000 1025 1250 1321 1640 2000 2050 2500 2642 3125 3280 4100 5000 5125 5284 6250 6605 8200 10000 10250 10568 12500 13210 15625 16400 20500 21136 25000 25625 26420 31250 33025 41000 50000 51250 52840 54161 62500 66050 82000 102500 105680 108322 125000 128125 132100 165125 205000 216644 250000 256250 264200 270805 330250 410000 433288 512500 528400 541610 640625 660500 825625 866576 1025000 1083220 1281250 1321000 1354025 1651250 2050000 2166440 2562500 2642000 2708050 3302500 4128125 4332880 5125000 5416100 6605000 6770125 8256250 10250000 10832200 13210000 13540250 16512500 20640625 21664400 27080500 33025000 33850625 41281250 54161000 66050000 67701250 82562500 108322000 135402500 165125000 169253125 270805000 330250000 338506250 541610000 677012500 846265625 1354025000 1692531250 2708050000 3385062500 6770125000 13540250000