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11968754496 = 2631731931867
BaseRepresentation
bin10110010010110010…
…01011001101000000
31010220010022201120120
423021121023031000
5144003000120441
65255351540240
7602411506656
oct131131131500
933803281516
1011968754496
115092060446
1223a038a680
13118984496a
14817806dd6
154a0b4c966
hex2c964b340

11968754496 has 112 divisors (see below), whose sum is σ = 32032553664. Its totient is φ = 3943858176.

The previous prime is 11968754489. The next prime is 11968754519. The reversal of 11968754496 is 69445786911.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6409755 + ... + 6411621.

Almost surely, 211968754496 is an apocalyptic number.

11968754496 is a gapful number since it is divisible by the number (16) 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 11968754496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16016276832).

11968754496 is an abundant number, since it is smaller than the sum of its proper divisors (20063799168).

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

11968754496 is a wasteful number, since it uses less digits than its factorization.

11968754496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2238 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 60.

The spelling of 11968754496 in words is "eleven billion, nine hundred sixty-eight million, seven hundred fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 173 192 193 346 386 519 579 692 772 1038 1158 1384 1544 1867 2076 2316 2768 3088 3734 4152 4632 5536 5601 6176 7468 8304 9264 11072 11202 12352 14936 16608 18528 22404 29872 33216 33389 37056 44808 59744 66778 89616 100167 119488 133556 179232 200334 267112 322991 358464 360331 400668 534224 645982 720662 801336 968973 1068448 1080993 1291964 1441324 1602672 1937946 2136896 2161986 2583928 2882648 3205344 3875892 4323972 5167856 5765296 6410688 7751784 8647944 10335712 11530592 15503568 17295888 20671424 23061184 31007136 34591776 62014272 62337263 69183552 124674526 187011789 249349052 374023578 498698104 748047156 997396208 1496094312 1994792416 2992188624 3989584832 5984377248 11968754496