Search a number
-
+
13519054528 = 267210740289
BaseRepresentation
bin11001001011100110…
…00110011011000000
31021220011111010102021
430211303012123000
5210141334221103
610113252131224
7656005032100
oct144563063300
937804433367
1013519054528
115808176841
122753606b14
131375a98a65
14923681200
15541cd0bbd
hex325cc66c0

13519054528 has 84 divisors (see below), whose sum is σ = 31499205480. Its totient is φ = 5739589632.

The previous prime is 13519054519. The next prime is 13519054537. The reversal of 13519054528 is 82545091531.

It is an interprime number because it is at equal distance from previous prime (13519054519) and next prime (13519054537).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 315408 + ... + 355696.

Almost surely, 213519054528 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 13519054528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15749602740).

13519054528 is an abundant number, since it is smaller than the sum of its proper divisors (17980150952).

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

13519054528 is a wasteful number, since it uses less digits than its factorization.

13519054528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40422 (or 40405 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 43.

The spelling of 13519054528 in words is "thirteen billion, five hundred nineteen million, fifty-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 107 112 196 214 224 392 428 448 749 784 856 1498 1568 1712 2996 3136 3424 5243 5992 6848 10486 11984 20972 23968 40289 41944 47936 80578 83888 161156 167776 282023 322312 335552 564046 644624 1128092 1289248 1974161 2256184 2578496 3948322 4310923 4512368 7896644 8621846 9024736 15793288 17243692 18049472 30176461 31586576 34487384 60352922 63173152 68974768 120705844 126346304 137949536 211235227 241411688 275899072 422470454 482823376 844940908 965646752 1689881816 1931293504 3379763632 6759527264 13519054528