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11120197412416 = 26233217892
BaseRepresentation
bin1010000111010001111101…
…1010101010011001000000
31110101002011200021212201211
42201310133122222121000
52424143131014144131
635352314223135504
72225256600265201
oct241643732523100
943332150255654
1011120197412416
1135a805a599994
1212b7203744594
1362882649a9b1
142a6312bc95a8
151443ddb575b1
hexa1d1f6aa640

11120197412416 has 63 divisors (see below), whose sum is σ = 22174149536931. Its totient is φ = 5533141023744.

The previous prime is 11120197412383. The next prime is 11120197412461. The reversal of 11120197412416 is 61421479102111.

The square root of 11120197412416 is 3334696.

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

It can be written as a sum of positive squares in 4 ways, for example, as 580461134400 + 10539736278016 = 761880^2 + 3246496^2 .

It is a super-2 number, since 2×111201974124162 (a number of 27 digits) contains 22 as substring.

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, 6215872450 + ... + 6215874238.

Almost surely, 211120197412416 is an apocalyptic number.

11120197412416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11120197412416 is the 3334696-th square number.

It is an amenable number.

11120197412416 is a deficient number, since it is larger than the sum of its proper divisors (11053952124515).

11120197412416 is an frugal number, since it uses more digits than its factorization.

11120197412416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 40.

The spelling of 11120197412416 in words is "eleven trillion, one hundred twenty billion, one hundred ninety-seven million, four hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 233 466 932 1789 1864 3578 3728 7156 7456 14312 14912 28624 54289 57248 108578 114496 217156 416837 434312 833674 868624 1667348 1737248 3200521 3334696 3474496 6401042 6669392 12802084 13338784 25604168 26677568 51208336 97123021 102416672 194246042 204833344 388492084 745721393 776984168 1491442786 1553968336 2982885572 3107936672 5965771144 6215873344 11931542288 23863084576 47726169152 173753084569 347506169138 695012338276 1390024676552 2780049353104 5560098706208 11120197412416