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211421023008 = 25313169407871
BaseRepresentation
bin1100010011100110101…
…1001100101100100000
3202012201021221202201120
43010321223030230200
511430442240214013
6241043034132240
721163132021116
oct3047153145440
9665637852646
10211421023008
1181732723898
1234b84581080
1316c24539060
14a338c69ab6
155775e7b123
hex3139accb20

211421023008 has 48 divisors (see below), whose sum is σ = 597670972416. Its totient is φ = 65052622080.

The previous prime is 211421023007. The next prime is 211421023027. The reversal of 211421023008 is 800320124112.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (211421023001) 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 7 ways as a sum of consecutive naturals, for example, 84702688 + ... + 84705183.

It is an arithmetic number, because the mean of its divisors is an integer number (12451478592).

Almost surely, 2211421023008 is an apocalyptic number.

It is an amenable number.

211421023008 is an abundant number, since it is smaller than the sum of its proper divisors (386249949408).

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

211421023008 is a wasteful number, since it uses less digits than its factorization.

211421023008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169407897 (or 169407889 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 211421023008 in words is "two hundred eleven billion, four hundred twenty-one million, twenty-three thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 169407871 338815742 508223613 677631484 1016447226 1355262968 2032894452 2202302323 2710525936 4065788904 4404604646 5421051872 6606906969 8131577808 8809209292 13213813938 16263155616 17618418584 26427627876 35236837168 52855255752 70473674336 105710511504 211421023008