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211921326382480 = 2451113178326349919
BaseRepresentation
bin110000001011110111000111…
…011000010001110110010000
31000210100110222121102022001221
4300023313013120101312100
5210234104334023214410
62030415151402534424
762431545011526661
oct6013670730216620
91023313877368057
10211921326382480
1161585369a68940
121b927933507414
13913313158b160
143a49092a95368
1519778601934da
hexc0bdc7611d90

211921326382480 has 640 divisors, whose sum is σ = 622662227066880. Its totient is φ = 65890609889280.

The previous prime is 211921326382471. The next prime is 211921326382517. The reversal of 211921326382480 is 84283623129112.

It is a super-2 number, since 2×2119213263824802 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4245278961 + ... + 4245328879.

It is an arithmetic number, because the mean of its divisors is an integer number (972909729792).

Almost surely, 2211921326382480 is an apocalyptic number.

211921326382480 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 211921326382480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311331113533440).

211921326382480 is an abundant number, since it is smaller than the sum of its proper divisors (410740900684400).

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

211921326382480 is a wasteful number, since it uses less digits than its factorization.

211921326382480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50319 (or 50313 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The spelling of 211921326382480 in words is "two hundred eleven trillion, nine hundred twenty-one billion, three hundred twenty-six million, three hundred eighty-two thousand, four hundred eighty".