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11992025664 = 2632193107873
BaseRepresentation
bin10110010101100011…
…11100101001000000
31010221202010000121200
423022301330221000
5144024424310124
65301542421200
7603113351643
oct131261745100
933852100550
1011992025664
1150a4205413
1223a8131800
131191601c98
1481a943a5a
154a2be7bc9
hex2cac7ca40

11992025664 has 84 divisors (see below), whose sum is σ = 34551394956. Its totient is φ = 3976593408.

The previous prime is 11992025663. The next prime is 11992025677. The reversal of 11992025664 is 46652029911.

It can be written as a sum of positive squares in 2 ways, for example, as 8392025664 + 3600000000 = 91608^2 + 60000^2 .

It is a super-3 number, since 3×119920256643 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11992025663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57232 + ... + 165104.

Almost surely, 211992025664 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 11992025664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17275697478).

11992025664 is an abundant number, since it is smaller than the sum of its proper divisors (22559369292).

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

11992025664 is a wasteful number, since it uses less digits than its factorization.

11992025664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108084 (or 108071 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 11992025664 in words is "eleven billion, nine hundred ninety-two million, twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 193 288 386 576 579 772 1158 1544 1737 2316 3088 3474 4632 6176 6948 9264 12352 13896 18528 27792 37056 55584 107873 111168 215746 323619 431492 647238 862984 970857 1294476 1725968 1941714 2588952 3451936 3883428 5177904 6903872 7766856 10355808 15533712 20711616 20819489 31067424 41638978 62134848 62458467 83277956 124916934 166555912 187375401 249833868 333111824 374750802 499667736 666223648 749501604 999335472 1332447296 1499003208 1998670944 2998006416 3997341888 5996012832 11992025664