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211454255344020 = 223513271095199159
BaseRepresentation
bin110000000101000100000111…
…110001101010100110010100
31000201200211101121212011002120
4300011010013301222212110
5210203431303332002040
62025420424401335540
762353031366311533
oct6005040761524624
91021624347764076
10211454255344020
11614152785a4647
121b8713023375b0
1390cb087576610
143a30624cb031a
15196a6253997d0
hexc05107c6a994

211454255344020 has 48 divisors (see below), whose sum is σ = 637615908424320. Its totient is φ = 52050278238336.

The previous prime is 211454255343931. The next prime is 211454255344027. The reversal of 211454255344020 is 20443552454112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211454255344027) by changing a digit.

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, 135547598800 + ... + 135547600359.

It is an arithmetic number, because the mean of its divisors is an integer number (13283664758840).

Almost surely, 2211454255344020 is an apocalyptic number.

211454255344020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211454255344020 is an abundant number, since it is smaller than the sum of its proper divisors (426161653080300).

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

211454255344020 is a wasteful number, since it uses less digits than its factorization.

211454255344020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271095199184 (or 271095199182 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 211454255344020 in words is "two hundred eleven trillion, four hundred fifty-four billion, two hundred fifty-five million, three hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 271095199159 542190398318 813285597477 1084380796636 1355475995795 1626571194954 2710951991590 3253142389908 3524237589067 4066427987385 5421903983180 7048475178134 8132855974770 10572712767201 14096950356268 16265711949540 17621187945335 21145425534402 35242375890670 42290851068804 52863563836005 70484751781340 105727127672010 211454255344020