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20555778720 = 2535108739397
BaseRepresentation
bin10011001001001110…
…000100101010100000
31222001120022202022210
4103021032010222200
5314044234404340
613235421402120
71325251144011
oct231116045240
958046282283
1020555778720
118799223884
123b98109340
131c2788c499
14dd003b008
15804951180
hex4c9384aa0

20555778720 has 96 divisors (see below), whose sum is σ = 64811916288. Its totient is φ = 5476359168.

The previous prime is 20555778703. The next prime is 20555778721. The reversal of 20555778720 is 2787755502.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20555778720.

It is not an unprimeable number, because it can be changed into a prime (20555778721) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 502062 + ... + 541458.

It is an arithmetic number, because the mean of its divisors is an integer number (675124128).

Almost surely, 220555778720 is an apocalyptic number.

20555778720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20555778720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32405958144).

20555778720 is an abundant number, since it is smaller than the sum of its proper divisors (44256137568).

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

20555778720 is a wasteful number, since it uses less digits than its factorization.

20555778720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40502 (or 40494 counting only the distinct ones).

The product of its (nonzero) digits is 1372000, while the sum is 48.

The spelling of 20555778720 in words is "twenty billion, five hundred fifty-five million, seven hundred seventy-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1087 2174 3261 4348 5435 6522 8696 10870 13044 16305 17392 21740 26088 32610 34784 39397 43480 52176 65220 78794 86960 104352 118191 130440 157588 173920 196985 236382 260880 315176 393970 472764 521760 590955 630352 787940 945528 1181910 1260704 1575880 1891056 2363820 3151760 3782112 4727640 6303520 9455280 18910560 42824539 85649078 128473617 171298156 214122695 256947234 342596312 428245390 513894468 642368085 685192624 856490780 1027788936 1284736170 1370385248 1712981560 2055577872 2569472340 3425963120 4111155744 5138944680 6851926240 10277889360 20555778720