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20935255921920 = 28335605765507
BaseRepresentation
bin1001100001010010111100…
…11111100001010100000000
32202010101112222110222201000
410300221132133201110000
510221000401004000140
6112305305050212000
74260344105133534
oct460513637412400
982111488428630
1020935255921920
11674165720688a
122421486a24000
13b8b255cca7b2
145253b3b2bbc4
15264892646a30
hex130a5e7e1500

20935255921920 has 144 divisors (see below), whose sum is σ = 74291081901120. Its totient is φ = 5582734903296.

The previous prime is 20935255921891. The next prime is 20935255921949. The reversal of 20935255921920 is 2912955253902.

20935255921920 is a `hidden beast` number, since 2 + 0 + 9 + 3 + 5 + 25 + 592 + 1 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (20935255921891) and next prime (20935255921949).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302848194 + ... + 302917313.

It is an arithmetic number, because the mean of its divisors is an integer number (515910290980).

Almost surely, 220935255921920 is an apocalyptic number.

20935255921920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20935255921920 is an abundant number, since it is smaller than the sum of its proper divisors (53355825979200).

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

20935255921920 is an equidigital number, since it uses as much as digits as its factorization.

20935255921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605765537 (or 605765517 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The spelling of 20935255921920 in words is "twenty trillion, nine hundred thirty-five billion, two hundred fifty-five million, nine hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 605765507 1211531014 1817296521 2423062028 3028827535 3634593042 4846124056 5451889563 6057655070 7269186084 9086482605 9692248112 10903779126 12115310140 14538372168 16355668689 18172965210 19384496224 21807558252 24230620280 27259447815 29076744336 32711337378 36345930420 38768992448 43615116504 48461240560 54518895630 58153488672 65422674756 72691860840 77537984896 81778343445 87230233008 96922481120 109037791260 116306977344 130845349512 145383721680 155075969792 163556686890 174460466016 193844962240 218075582520 232613954688 261690699024 290767443360 327113373780 348920932032 387689924480 436151165040 465227909376 523381398048 581534886720 654226747560 697841864064 775379848960 872302330080 1046762796096 1163069773440 1308453495120 1395683728128 1744604660160 2093525592192 2326139546880 2616906990240 3489209320320 4187051184384 5233813980480 6978418640640 10467627960960 20935255921920