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2120478855800 = 2352471072108251
BaseRepresentation
bin11110110110110110011…
…000111001001001111000
321111201022211001212010112
4132312312120321021320
5234220220041341200
64302045021003452
7306125304611354
oct36666630711170
97451284055115
102120478855800
117483210403a8
122a2b680b3588
13124c63a0c666
14748bb646464
153a25a021535
hex1edb6639278

2120478855800 has 96 divisors (see below), whose sum is σ = 5082067941120. Its totient is φ = 822386160000.

The previous prime is 2120478855779. The next prime is 2120478855811. The reversal of 2120478855800 is 85588740212.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48326 + ... + 2059925.

It is an arithmetic number, because the mean of its divisors is an integer number (52938207720).

Almost surely, 22120478855800 is an apocalyptic number.

2120478855800 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 2120478855800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541033970560).

2120478855800 is an abundant number, since it is smaller than the sum of its proper divisors (2961589085320).

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

2120478855800 is a wasteful number, since it uses less digits than its factorization.

2120478855800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108421 (or 2108412 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 50.

The spelling of 2120478855800 in words is "two trillion, one hundred twenty billion, four hundred seventy-eight million, eight hundred fifty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 107 188 200 214 235 376 428 470 535 856 940 1070 1175 1880 2140 2350 2675 4280 4700 5029 5350 9400 10058 10700 20116 21400 25145 40232 50290 100580 125725 201160 251450 502900 1005800 2108251 4216502 8433004 10541255 16866008 21082510 42165020 52706275 84330040 99087797 105412550 198175594 210825100 225582857 396351188 421650200 451165714 495438985 792702376 902331428 990877970 1127914285 1804662856 1981755940 2255828570 2477194925 3963511880 4511657140 4954389850 5639571425 9023314280 9908779700 10602394279 11279142850 19817559400 21204788558 22558285700 42409577116 45116571400 53011971395 84819154232 106023942790 212047885580 265059856975 424095771160 530119713950 1060239427900 2120478855800