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11512431616 = 210724792
BaseRepresentation
bin10101011100011000…
…11100010000000000
31002201022200010021011
422232030130100000
5142034140302431
65142211210304
7555201024400
oct125614342000
932638603234
1011512431616
1149785162a4
1222935a6994
13111614301a
147b2d80800
15475a60cb1
hex2ae31c400

11512431616 has 99 divisors (see below), whose sum is σ = 26826952359. Its totient is φ = 4923598848.

The previous prime is 11512431589. The next prime is 11512431641. The reversal of 11512431616 is 61613421511.

The square root of 11512431616 is 107296.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24034065 + ... + 24034543.

Almost surely, 211512431616 is an apocalyptic number.

11512431616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11512431616 is the 107296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11512431616

11512431616 is an abundant number, since it is smaller than the sum of its proper divisors (15314520743).

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

11512431616 is an frugal number, since it uses more digits than its factorization.

11512431616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 488 counting only the distinct ones).

The product of its digits is 4320, while the sum is 31.

The spelling of 11512431616 in words is "eleven billion, five hundred twelve million, four hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 479 512 784 896 958 1024 1568 1792 1916 3136 3353 3584 3832 6272 6706 7168 7664 12544 13412 15328 23471 25088 26824 30656 46942 50176 53648 61312 93884 107296 122624 187768 214592 229441 245248 375536 429184 458882 490496 751072 858368 917764 1502144 1606087 1716736 1835528 3004288 3212174 3433472 3671056 6008576 6424348 7342112 11242609 12017152 12848696 14684224 22485218 24034304 25697392 29368448 44970436 51394784 58736896 89940872 102789568 117473792 179881744 205579136 234947584 359763488 411158272 719526976 822316544 1439053952 1644633088 2878107904 5756215808 11512431616