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20770641042816 = 273716693462899
BaseRepresentation
bin1001011100100000010101…
…01011100101110110000000
32201112122122200112200200210
410232100022223211312000
510210301233101332231
6112101522322114120
74242425563554360
oct456201253456600
981478580480623
1020770641042816
116688863419755
1223b55a57ab940
13b788809342a2
1451b4393669a0
1526045a977a46
hex12e40aae5d80

20770641042816 has 128 divisors (see below), whose sum is σ = 63057645216000. Its totient is φ = 5934100543488.

The previous prime is 20770641042803. The next prime is 20770641042839. The reversal of 20770641042816 is 61824014607702.

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 (48).

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, 44639335 + ... + 45102233.

It is an arithmetic number, because the mean of its divisors is an integer number (492637853250).

Almost surely, 220770641042816 is an apocalyptic number.

It is an amenable number.

20770641042816 is an abundant number, since it is smaller than the sum of its proper divisors (42287004173184).

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

20770641042816 is a wasteful number, since it uses less digits than its factorization.

20770641042816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479616 (or 479604 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 20770641042816 in words is "twenty trillion, seven hundred seventy billion, six hundred forty-one million, forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 16693 33386 50079 66772 100158 116851 133544 200316 233702 267088 350553 400632 462899 467404 534176 701106 801264 925798 934808 1068352 1388697 1402212 1602528 1851596 1869616 2136704 2777394 2804424 3205056 3240293 3703192 3739232 5554788 5608848 6410112 6480586 7406384 7478464 9720879 11109576 11217696 12961172 14812768 14956928 19441758 22219152 22435392 25922344 29625536 38883516 44438304 44870784 51844688 59251072 77767032 88876608 103689376 155534064 177753216 207378752 311068128 414757504 622136256 1244272512 7727173007 15454346014 23181519021 30908692028 46363038042 54090211049 61817384056 92726076084 108180422098 123634768112 162270633147 185452152168 216360844196 247269536224 324541266294 370904304336 432721688392 494539072448 649082532588 741808608672 865443376784 989078144896 1298165065176 1483617217344 1730886753568 2596330130352 2967234434688 3461773507136 5192660260704 6923547014272 10385320521408 20770641042816