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192243239424 = 2932157265729
BaseRepresentation
bin1011001100001010010…
…1110000101000000000
3200101012202120102100200
42303002211300220000
511122203232130144
6224152035445200
716613652400455
oct2630245605000
9611182512320
10192243239424
117459132a175
1231311a56800
13151892c2512
149439c5382c
1550024c4c69
hex2cc2970a00

192243239424 has 120 divisors (see below), whose sum is σ = 558363036660. Its totient is φ = 63672680448.

The previous prime is 192243239417. The next prime is 192243239443. The reversal of 192243239424 is 424932342291.

192243239424 is a `hidden beast` number, since 1 + 9 + 224 + 32 + 394 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 182130925824 + 10112313600 = 426768^2 + 100560^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 192243239424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 590592 + ... + 856320.

Almost surely, 2192243239424 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 192243239424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279181518330).

192243239424 is an abundant number, since it is smaller than the sum of its proper divisors (366119797236).

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

192243239424 is a wasteful number, since it uses less digits than its factorization.

192243239424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265910 (or 265891 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 192243239424 in words is "one hundred ninety-two billion, two hundred forty-three million, two hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 157 192 256 288 314 384 471 512 576 628 768 942 1152 1256 1413 1536 1884 2304 2512 2826 3768 4608 5024 5652 7536 10048 11304 15072 20096 22608 30144 40192 45216 60288 80384 90432 120576 180864 241152 265729 361728 531458 723456 797187 1062916 1594374 2125832 2391561 3188748 4251664 4783122 6377496 8503328 9566244 12754992 17006656 19132488 25509984 34013312 38264976 41719453 51019968 68026624 76529952 83438906 102039936 125158359 136053248 153059904 166877812 204079872 250316718 306119808 333755624 375475077 408159744 500633436 612239616 667511248 750950154 1001266872 1224479232 1335022496 1501900308 2002533744 2670044992 3003800616 4005067488 5340089984 6007601232 8010134976 10680179968 12015202464 16020269952 21360359936 24030404928 32040539904 48060809856 64081079808 96121619712 192243239424