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4089992648832 = 27331517837397
BaseRepresentation
bin111011100001000110100…
…011110001100010000000
3112110222222121201221011000
4323201012203301202000
51014002301104230312
612410530000452000
7601330554621516
oct73410643614200
915428877657130
104089992648832
111337613251712
1256080231a000
132388b92459bc
14101d572864b6
15715cb883adc
hex3b8468f1880

4089992648832 has 128 divisors (see below), whose sum is σ = 12151101859200. Its totient is φ = 1354302028800.

The previous prime is 4089992648831. The next prime is 4089992648897. The reversal of 4089992648832 is 2388462999804.

4089992648832 is a `hidden beast` number, since 4 + 0 + 8 + 9 + 99 + 26 + 488 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (4089992648831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3396843 + ... + 4440554.

It is an arithmetic number, because the mean of its divisors is an integer number (94930483275).

Almost surely, 24089992648832 is an apocalyptic number.

It is an amenable number.

4089992648832 is an abundant number, since it is smaller than the sum of its proper divisors (8061109210368).

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

4089992648832 is a wasteful number, since it uses less digits than its factorization.

4089992648832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7837571 (or 7837553 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 72.

The spelling of 4089992648832 in words is "four trillion, eighty-nine billion, nine hundred ninety-two million, six hundred forty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 151 192 216 288 302 384 432 453 576 604 864 906 1152 1208 1359 1728 1812 2416 2718 3456 3624 4077 4832 5436 7248 8154 9664 10872 14496 16308 19328 21744 28992 32616 43488 57984 65232 86976 130464 173952 260928 521856 7837397 15674794 23512191 31349588 47024382 62699176 70536573 94048764 125398352 141073146 188097528 211609719 250796704 282146292 376195056 423219438 501593408 564292584 752390112 846438876 1003186816 1128585168 1183446947 1504780224 1692877752 2257170336 2366893894 3009560448 3385755504 3550340841 4514340672 4733787788 6771511008 7100681682 9028681344 9467575576 10651022523 13543022016 14201363364 18935151152 21302045046 27086044032 28402726728 31953067569 37870302304 42604090092 56805453456 63906135138 75740604608 85208180184 113610906912 127812270276 151481209216 170416360368 227221813824 255624540552 340832720736 454443627648 511249081104 681665441472 1022498162208 1363330882944 2044996324416 4089992648832