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11325454224 = 2437612712039
BaseRepresentation
bin10101000110000110…
…01011011110010000
31002020021211200111120
422203003023132100
5141143304013344
65111451442240
7550440525660
oct124303133620
932207750446
1011325454224
114891a18427
122240a56380
1310b6498306
147961cc1a0
1546442a219
hex2a30cb790

11325454224 has 160 divisors (see below), whose sum is σ = 34127339520. Its totient is φ = 3169497600.

The previous prime is 11325454211. The next prime is 11325454229. The reversal of 11325454224 is 42245452311.

It is not an unprimeable number, because it can be changed into a prime (11325454229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5553397 + ... + 5555435.

It is an arithmetic number, because the mean of its divisors is an integer number (213295872).

Almost surely, 211325454224 is an apocalyptic number.

11325454224 is a gapful number since it is divisible by the number (14) 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 11325454224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17063669760).

11325454224 is an abundant number, since it is smaller than the sum of its proper divisors (22801885296).

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

11325454224 is a wasteful number, since it uses less digits than its factorization.

11325454224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2383 counting only the distinct ones).

The product of its digits is 38400, while the sum is 33.

The spelling of 11325454224 in words is "eleven billion, three hundred twenty-five million, four hundred fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 271 336 366 427 488 542 732 813 854 976 1084 1281 1464 1626 1708 1897 2039 2168 2562 2928 3252 3416 3794 4078 4336 5124 5691 6117 6504 6832 7588 8156 10248 11382 12234 13008 14273 15176 16312 16531 20496 22764 24468 28546 30352 32624 33062 42819 45528 48936 49593 57092 66124 85638 91056 97872 99186 114184 115717 124379 132248 171276 198372 228368 231434 248758 264496 342552 347151 373137 396744 462868 497516 552569 685104 694302 746274 793488 870653 925736 995032 1105138 1388604 1492548 1657707 1741306 1851472 1990064 2210276 2611959 2777208 2985096 3315414 3482612 3867983 4420552 5223918 5554416 5970192 6630828 6965224 7735966 8841104 10447836 11603949 13261656 13930448 15471932 20895672 23207898 26523312 30943864 33706709 41791344 46415796 61887728 67413418 92831592 101120127 134826836 185663184 202240254 235946963 269653672 404480508 471893926 539307344 707840889 808961016 943787852 1415681778 1617922032 1887575704 2831363556 3775151408 5662727112 11325454224