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210985672348 = 2211297189137191
BaseRepresentation
bin1100010001111110111…
…0011101111010011100
3202011120221202122220001
43010133232131322130
511424044313003343
6240531523104044
721146264424163
oct3043756357234
9664527678801
10210985672348
1181529a03460
1234a82812024
1316b8529b209
14a2d71023da
15574cb3344d
hex311fb9de9c

210985672348 has 192 divisors, whose sum is σ = 432669081600. Its totient is φ = 89137664000.

The previous prime is 210985672343. The next prime is 210985672357. The reversal of 210985672348 is 843276589012.

It is a super-2 number, since 2×2109856723482 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210985672343) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1104636933 + ... + 1104637123.

It is an arithmetic number, because the mean of its divisors is an integer number (2253484800).

It is a 1-persistent number, because it is pandigital, but 2⋅210985672348 = 421971344696 is not.

Almost surely, 2210985672348 is an apocalyptic number.

It is an amenable number.

210985672348 is an abundant number, since it is smaller than the sum of its proper divisors (221683409252).

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

210985672348 is a wasteful number, since it uses less digits than its factorization.

210985672348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 210985672348 in words is "two hundred ten billion, nine hundred eighty-five million, six hundred seventy-two thousand, three hundred forty-eight".